Time

May 16 2012 - 4:30pm - 5:30 pm

Location

Smith Lab 1009

Speaker

Richard Lyons (Rutgers Univ.)

Abstract

Most finite simple groups are groups of Lie type over a finite field, and the characteristic p of that field is clearly reflected in the subgroup structure of the group, which is of "characteristic p type." Very few groups are of characteristic p type and characteristic q type for two different primes p, q. However, by appropriately weakening the notion of characteristic p type, one sees that the Monster and other large sporadic groups satisfy the weaker condition for two primes, namely 2 and 3.