Spring 2007 New York Group Theory Seminar

Fridays at 4 p.m.

Department of Mathematics
CUNY, Graduate Center

365 Fifth Avenue at 34th Street, 5th Floor, Room 5417
Fridays at 4:00 p.m.
Tea served beforehand at 3:30 p.m. in Mathematics Lounge, 4th floor.

Martin Kassabov, Cornell University

Small presentations of finite simple groups (joint work with R. Guralnick, B. Kantor, A. Lubotzky)

We study presentations of a finite simple groups $G$ from a quantitative point of view.

Our main result provides somewhat unexpected answers to the following questions: how many relations are needed to define $G$, and how short can these relations be?

The answers to this questions have many application in computational and asymptotic group theory. They also have cohomological applications and can be used to confirm a conjecture of Holt that $\dim H^2(G,M)\leq C \dim M$ for any simple group $G$ and any $G$-module $M$.

Friday, March 16th
Tea: 3:30 p.m. 4th Floor Mathematics Lounge
Seminar: 4 p.m. 5th Floor, Room 5417

The New York Group Theory Seminar and some of the associated conferences are supported by funds from the National Science Foundation, Dean of Science, Maria Tamargo and Dean of Engineering, Joe Barba.

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