As in past conferences, there will be sessions in Combinatorics, Group Theory, and Ring Theory at the Ohio State-Denison Mathematics Conference. The Group Theory and Ring Theory programs will be held as usual over three days, from Friday, May 19 to Sunday, May 21. However, in conjunction with a special recognition of Professor Dijen Ray-Chaudhuri near his 65th birthday, the Combinatorics program will start earlier and be held over four days,from Thursday, May 18 to Sunday, May 21.

All conference lectures will be in rooms that are close to the Mathematics Tower.

These lectures will be scheduled for the afternoon Friday, May 19, morning and afternoon Saturday, May 20, and morning Sunday, May 21. Invited speakers for these lectures are former students of Professor Ray-Chaudhuri or other mathematicians that have strong personal and professional ties with him. They will give 40-minute invited lectures on a topic of great interest to him within coding theory, design theory, finite geometries, and combinatorial inequalities.

**Dijen 65 Program of Speakers:**

Friday 5/19 | University Hall 114 (19th Ave one block south of the Math Tower) |
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11:00-11:15 | Welcome, Provost Edward Ray, Ohio State University |

11:15-11:55 | Richard Wilson, California Institute of Technology, "Decompositions of edge-colored complete graphs;designs with automorphisms" |

12:00-12:40 | Dieter Jungnickel, University of Augsberg, Germany, "Balanced Network Flows" |

2:30- 3:10 | Michel Deza, Ecole Normale Superieure, France, "Clusters of Cycles" |

Saturday 5/20 | University Hall 014 |
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9:00- 9:40 | John Dillon, National Security Agency, "Geometry, Codes and Difference Sets" |

9:45-10:25 | Mohan Shrikhande, Central Michigan University, "Subdesigns of Symmetric Designs" |

10:30-11:10 | Eiichi Bannai, Kyushu University, Japan, "Some results on modular forms motivated by coding theory" |

11:15-11:55 | Vladimir Tonchev, Michigan Technological University, "A mass formula for Steiner triple systems" |

2:00- 2:45 | Vera Pless, University of Illinois, Chicago, Decoding Some [32,16,8] Type ll Codes by Hand |

2:50- 3:30 | Alan Sprague, University of Alabama, "Medical Surveillance and Closure Operations" |

3:35- 4:20 | Erin Schram , National Security Agency, "A Poteriori Probability Decoding through Discrete Fourier Transform and the Dual Code" |

Sunday 5/21 | University Hall 014 |
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9:00- 9:40 | Don Kreher, Michigan Technological University, "A hole-size bound for incomplete t-wise balanced designs" |

9:45-10:25 | Zhe-Xian Wan, Chinese Academy of Sciences, Beijing |

10:30-11:10 | Qing Xiang, University of Delaware, "A trace conjecture and flag- transitive planes" |

11:15-11:55 | Jeff Kahn, Rutgers University, "Entropy, independent sets and antichains" |

A and B are parallel sessions on Thursday during 11:30-12:40 and 2:00-3:20.

**Combinatorics Session -- A**

Thursday 5/18 | University Hall 014 (On 19th Ave one block south of the Math Tower) |
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8:00-8:30 | Coffee and rolls, registration, banquet tickets |

8:30- 8:40 | Welcome |

8:40- 9:00 | Zoltan Furedi, Illinois, The maximum size of 3-uniform hypergraphs not containing a Fano plane |

9:05- 9:25 | John Maharry, Franklin , $K_{a,k}$ minors in large graphs |

9:30- 9:50 | Tibor Szabo, Illinois, On a Generalization of the Erd\H os- Szekeres Theorem |

9:55-10:15 | Tom Blackford, Ohio State, Cyclic Codes over $Z_4$ of Even Length |

10:20-11:00 | Coffee |

EA 170 (Adjacent to Math Tower) | |
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11:00-11:20 | S.R. Nagpaul, Ohio Univ (visitor), Columns of uniform color in a rectangular array with rows having cyclically repeated color patterns |

11:25-11:45 | Mark Ellingham, Vanderbilt, Connected $(g, f)$-factors |

11:50-12:10 | Sun Yell Song ,Iowa State, Wreath product association schemes and their realization |

12:15-12:35 | Peter Hamburger, Indiana/Purdue, NON-SIMPLE DOILIES AND DOODLES |

12:40-2:00 | Lunch |

EA 170 | |
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2:05-2:25 | Andy Woldar, Villanova, Groups, Rainbow Graphs, and Group Rainbow Graphs |

2:30-2:50 | Jim Davis, Richmond, A Family of Partial Difference Sets with Denniston Parameters in Nonelementary Abelian 2-Groups |

2:55-3:15 | X-D Hou, Wright State, The Eigenmatrix of the Linear Association Scheme on $R(2,m)$ |

3:30-4:30 | Reception for Zassenhaus Lecture 1 |

4:30-5:30 | Zassenhaus Lecture 1, Laszlo Lovasz, Microsoft Research |

Friday 5/19 | University Hall 114 |
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8:30- 9:30 | Coffee and rolls, registration, banquet tickets |

9:05-9:25 | Daniel Slilaty, SUNY-Binghamton, "Orientations of biased graphs and their matroids" |

9:30- 9:50 | Ken Smith, Central Michigan, Search Algorthms for Difference Sets |

9:55-10:15 | Xiaoya Zha, Middle Tennessee, Isoperimetric numbers of infinite planar graphs |

10:20-10:40 | Neil Robertson, Ohio State, Some Remarks on Perfect Graphs |

10:45-11:00 | Coffee |

11:00 | Start of the program honoring Prof Dijen Ray-Chaudhuri |

**Combinatorics Sessions--B**

Thursday 5/18 | Journalism 300 (18th and Neil Ave, just west of the Math Tower) |
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11:30-11:45 | Irfan Siap, Ohio State, Linear codes over $F_2+uF_2$ and their complete weight enumerators |

11:50-12:05 | Yutaka Hiramine, Kumamoto, On Semi-Regular Relative Difference Sets in p-Groups with maximal cyclic subgroups |

12:10-12:25 | Derek Hein , Central Michigan, On The $\lambda$-Design Conjecture For $v=5p+1$ Points |

12:30- 2:00 | Lunch |

Journalism 300 | |
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2:00-2:15 | Hadi Kharaghani, Lethbridge , Balanced matrices and Designs |

2:20-2:35 | J. George Yeh, Ohio State,, Infinite families of large sets of $t$-designs |

2:40-2:55 | Dominic T. Elvira, Kumamoto, On Difference Sets in Dihedral Groups |

3:00-3:15 | Akihiro Munemasa, Kyushu, A mass formula for Type II codes over a finite field of characteristic two |

3:30-4:30 | Reception for Zassenhaus Lecture 1 |

Journalism 304 | |
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3:30-3:45 | Nuh Aydin, Ohio State, Quaternary Quasi-Cyclic Codes and Some New Binary Codes |

3::50-4:05 | Jon-Lark Kim, Illinois (Chicago), New Extremal Self-Dual Codes of Lengths 36,38,and 58 |

4:30-5:30 | Zassenhaus Lecture 1, Laszlo Lovasz, Microsoft Research |

Speakers in these Ohio State-Denison combinatorics sessions who havent yet done so,
should send their complete title and abstract to Tom Dowling (tdowling@math.ohio-state.edu) as soon as possible.

The proceedings will be refereed and published in the OSU Mathematical Research
Institute Monograph Series. We request that papers be submitted no later than
May 18, 2000 (the opening day of the conference). The volume is expected to appear
sometime in 2001. The latex style file to prepare the manuscripts can be found at
http://www.math.ohio-state.edu/~akos/

Friday, May 19, 2000 | Morning Session, Room University Hall 043 |
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8:30-10:00 A.M. | Coffee, Rolls and Registration in Math Tower Lobby MW 154,,
Banquet Ticket Payments/Pick up. (Please make sure that you order your banquet tickets by using the form on our web-site by May 16 -before leaving for the conference) |

10:30-10:50 | Sergio Lopez-Permouth, Ohio University, Athens, Ohio, Modules satisfying internal exchange property |

10:55-11:15 | Yoshitomo Baba, Osaka-Kyoiku University, Osaka, Japan, Symmetry of almost hereditary rings |

11:20-11:40 | T.K. Kwak, Daejin University, Seoul, South Korea, On minimal strongly prime ideals |

11:45-12:05 | Lalitha Ganesan, Jai Hind College, Mumbai, India, Modules with unique coclosures |

LUNCH BREAK |

Friday, May 19, 2000 | Afternoon Session, Room University Hall 043 |
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1:30-2:00 P.M. | Registration in Math Tower Lounge MW 724,,
Banquet Ticket Payments/Pick up. (Please make sure that you order your banquet tickets by using the form on our web-site by May 16 -before leaving for the conference) |

2:00-2:20 | Earl Taft, Rutgers University, New Brunswick, N.J., Polynomially recursive sequences |

2:25-2:45 | N. Vanaja, University of Mumbai, Mumbai, India, Corational extensions and copolyform modules |

2:50-3:10 | Robert Raphael, Concordia University, Montreal, Canada, The Moore-Penrose inverse and some of its progeny |

3:15-3:35 | Frank Sandomierski, Kent State University, Kent, Ohio, Denominator sets |

3:40-4:00 | Yiqiang Zhou, Memorial University of New Foundland, Canada, Examples of CS-rings |

4:05-4:30 | Coffee/Resfreshments for the Zassenhaus Lecture,, MW 724, Math Tower Lounge |

4:30-5:30 | Zassenhaus Lecture, Lazlo Lovasz (Microsoft Research) |

6:30 & 7:30 p.m. | RECEPTION & BANQUET AT HOLIDAY INN ON THE LANE. |

Saturday, May 20, 2000 | Morning Session, Hitchcock Hall 035 |
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8:00-9:00 A.M. | Coffee, Rolls in Math Tower Lobby, MW 154 |

9:00-9:20 | John Dauns, Tulane University, New Orleans, LA, Direct sums and type submodules |

9:30-9:50 | Jiro Kado, Osaka City University, Osaka, Japan, The self-duality of Harada rings |

10:00-10:20 | Mamoru Kutami, Yamaguchi University, Yamaguchi, Japan, Von Neumann regular rings satisfying s-comparability |

10:30-10:50 | Guenter Krause, University of Manitoba, Winnipeg, Canada, On noetherian rings that are not embeddable in artinian rings |

11:00-11:20 | John Clark, University of Otago, Dunedin, New Zealand, Excellent extensions |

11:30-11:50 | Hans H. Brungs, University of Alberta, Edmonton, Canada, Valuation trees of division algebras |

LUNCH BREAK |

Saturday, May 20, 2000 | Afternoon Session, Hitchcock Hall 035 |
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2:00-2:20 P.M. | T.Y. Lam, University of California, Berkeley, CA, Embedding of finite groups in division rings |

2:30-2:50 | Alberto Facchini, University of Padova, Padova, Italy, Homogeneous semilocal rings, modules whose endomorphism rings are homogeneous semilocal and the Krull-Schmidt theorem |

3:00-3:20 | Gary F. Birkenmeier, University of Louisiana at Lafayette, LA, Modules with fully invariant submodules essential in fully invariant summands |

3:30-3:50 | Ivo Herzog, The Ohio State University, Lima, Ohio, Maximal rings of pure quotients |

4:00-4:20 | Philip Rothmaler, Wesleyan University, CT, Purity and related concepts |

4:30-4:50 | N. V. Dung, Institute of Math, Hanoi Vietnam/Ohio, University, Athens, Pure semisimple rings with enough idempotents |

5:00-5:20 | Carlos Signoret, UAM, Mexico, The lattice structure of the preradicals II. Partitions |

5:30-5:50 P.M. | Jeff Bergen, Depaul University, Chicago, IL, Invariants of skew derivations |

Sunday, May 21, 2000 | Morning Session, Hitchcock Hall 035 |
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8:00-9:00 A.M. | Coffee, Rolls in Math Tower Lobby, MW 154 |

9:00-9:20 | Victor Camillo, University of Iowa, Iowa City, IA, Relating properties of a ring and its ring of row and column finite matrices |

9:30-9:50 | Jay Shapiro, George Mason University, VA, Primary decomposition of certain binomial ideals |

10:00-10:20 | Stefan Catoiu, Depaul University, Chicago, IL, Arithmetical properties of the quantized enveloping algebra |

10:30-10:50 | Chan Hong, Kyunghee University, Seoul, Korea/Ohio, State University,OH, Remarks on rings whose homomorphic images are principally injective |

11:00-11:20 | Toma Albu, University of Bucharest, Bucharest, Romania, On quotient finite dimensional modules |

11:30-11:50 | Robert Wisbauer, University of Duesseldorf, Duesseldorf,Germany, General distributivity and thickness of modules |

12:00-12:20 | M. A. Quadri, A. M.U. Aligarh, India, Derivations in rings |

If you are participating and require any information about the Ring
Theory Sessions, please contact the organizers,
S. K. Jain (jain@math.ohiou.edu) , S. Tariq Rizvi (rizvi@math. ohio-state.edu)

The Group Theory Sessions of the XXVth Ohio State-Denison Math Conference will start on Friday, May 19 at 1.00 P.M., and will end on Sunday, May 21 around 12:30 P.M. The sessions will consist of 20 minutes invited talks on recent research by invited speakers with ten minutes between the talks for discussions and questions. All talks will be held in the Depatment of Mathematics, The Ohio State University, Columbus.

**GROUP THEORY PROGRAM**

FRIDAY MAY 19,2000 | MORNING SESSION ROOM : University Hall 051 |
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9.00 - 10.00 | COFFEE AND REGISTRATION IN MATH TOWER LOUNGE 724 |

10.00 - 10.20 | L. Kappe (SUNY Binghamton), Some Analogues of a group problem of P. Erdos and B.H. Neumann |

10.30 - 10.50 | R. Morse (Evansville IN), Computing principle congruences in magmas and semigroups |

11.00 - 11.20 | B. Brewster (SUNY Bighamton), Sylow Intersections in GL(n,p) |

11.30 - 11.50 | K. Lorensen (SUNY Binghamton) |

FRIDAY MAY 19,2000 | AFTERNOON SESSION ROOM : University Hall 051 | |
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1.30 - 2.30 | COFFEE AND REGISTRATION IN MATH TOWER LOUNGE 724 | |

2.30 - 2.50 | Z.Sunik (SUNY Binghamton), Presentability in a Class of Burnside Groups | |

3.00 - 3.30 | J. Evans (SUNY Binghamton), Permutable Subgroups of a Direct Product of Finite Groups | |

3.30 - 4.30 | Reception for Zassenhaus lecture | |

4.30 - 5.30 | Lazlo Lovasz (Microsoft Research), Zassenhaus lecture | |

6.30 & 7:30 P.M. | RECEPTION & BANQUET TO HONOR PROFESSOR Ray-Chaudhuri ON HIS 65th Birthday AT THE HOLIDAY INN ON LANE AVE, COLUMBUS OH |

SATURDAY MAY 20,2000 | MORNING SESSION ROOM : Hitchcock Hall 031 |
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8.00 - 9.00 | COFFEE |

9.00 - 9.20 | R.Solomon (OSU), The Frattini subgroup of a finite solvable group |

9.30 - 9.50 | A. Turull (U.Florida ), Schur indices of perfect groups |

10.00 - 10.20 | M. Lewis (Kent State),The diameter of the character degree graph of a solvable group |

10.30 - 10.50 | S. Gagola (Kent State) |

11.00 - 11.20 | J. Riedl (OSU) |

11.30 - 11.50 | T. Wolf (Ohio U), Non-vanishing elements of finite groups |

SATURDAY MAY 20,2000 | AFTERNOON SESSION ROOM : Hitchcock Hall 031 |
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1.30 - 1.50 | D. Robinson (Illinois ), On minimal normal subgroups of dinilpotent groups |

2.00 - 2.20 | D. Paek (Illinois), Chain conditions for subgroups of infinite order or index |

2.30 - 2.50 | Y-F Wu (Bradley), On locally finite groups in which every elemen has prime power order |

3.00- 3.20 | K. Johnson (Penn State), Trace identities and k-characters |

3.30 - 3.50 | F.Tang (Waterloo Canada), On the residual finiteness of certain outer automorphism groups. |

4.00 - 4.20 | T. Kimber (Hartford CT), On certain finite metabelian I-A groups |

4.30 - 4.50 | T. Foguel (North Dakota State), Some applications of non-associative algebraic systems in cryptography |

SUNDAY MAY 21,2000 | MORNING SESSION ROOM: Hitchcock Hall 031 |
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8.00 - 9.00 | COFFEE |

9.00 -9.20 | B. Fine (Fairfield Ct) |

9.30 - 9.50 | M. Brodie (St.Bendict) |

10.00 - 10.20 | Anthony Gaglione (US Naval Academy), Some Groups are Less Discriminatin than Others, I |

10.30 - 10.50 | Dennis Spellman (Temple U ), Some Groups are Less Discriminating than Others, II |

11.00 - 11.20 | Anthony Evans (Wright State) |

11.30 - 11.50 | L. Hammoudi (Miami OH), On the Product of Two Normal Subgroups |

12.00 - 12.20 | Charles Holmes(Miami OH), Collineation Groups of Finite non-Desarguesian Projective Planes, an expository talk |

Participants' questions about the Group Theory Sessions should be addressed to the organizer, Surinder Sehgal (sehgal@math.ohio-state.edu).

(Simplest way: Click on the word "form" above, copy and paste it on your e-mail server, complete it, and e-mail
it. Alternatively from the File menu of your browser, "Save as Text". Then open up the resulting text file in your email client or word processor and then paste it into a new mail message.)

For campus maps and more about the university please try the:

University web site: | www.osu.edu |

Campus maps web site: | www.osu.edu/map.html |

- Holiday Inn on the Lane, 328 West Lane Avenue, Columbus, OH 43201

Phone: 614-294-4848 Fax: 614-294-5366

All rooms have either a king-size or two double beds at the same rate for 1-4 people: $74.00 + 15.75% taxes = $85.66 per room per night To receive this room rate, please inform them when you make the reservation that you are with the "OSU-Denison Math Conference." Guest parking is provided at no additional charge.

Two other hotels on Olentangy River Road that are not far from campus:

- (1.0 mi) Red Roof Inn, Olentangy River Rd at Ackerman Rd, Columbus, OH 43202, 614-267-9941

(1 person) $54.00 + 15.75% taxes = $62.50 per room per night

(2 people) $60.00 + 15.75% taxes = $69.45 per room per night - (1.4 mi) University Plaza Hotel, 3110 Olentangy River Rd, Columbus, OH 43202, 614-292-7461

(1-4 people) $79.00 + 15.75% tax = $91.45 per room per night, includes van service.

To receive this room rate, please inform them when you make the reservation that you are with the "OSU-Denison Math Conference."

The conference banquet will be Friday, May 19 at the Holiday Inn on the Lane. It will be preceded by a reception at 6:30 pm, with dinner around 7:30. Reserved tickets can be paid by cash or check when picked up at the conference registration table during cofffee breaks on Thursday, May 18 and Friday, May 19. If you plan to attend the banquet, please reserve tickets, using the format below, before Monday, May 15 by e-mail (preferably) to radcliff@math.ohio-state.edu or by postage to

Conference Banquet, c/o Marilyn Radcliff, Department of Mathematics, 231 W 18 Ave., Columbus, OH 43210.

Reservations Ohio State -Denison Conference Banquet Friday, May 19, 2000 Name: Check one: ___Combinatorics ___Group Theory ___Ring Theory Number of entree orders in your party @ $25 each : _____ NY.strip steak _____ Grilled chicken breast _____ Sea bass _____ Egg plant

This page at http://www.math.ohio-state.edu/denison/ will be updated as more information becomes available.

- Conference organizers:
- K.T.Arasu (karasu@euler.math.wright.edu)
- Tom Dowling (tdowling@math.ohio-state.edu)
- Akos Seress (akos@math.ohio-state.edu)
- Surinder Sehgal (sehgal@math.ohio-state.edu)
- Tariq Rizvi (rizvi@math.ohio-state.edu)
- S. K. Jain (jain@math.ohiou.edu)

Return to OSU Department of Mathematics Home Page.