**Speaker:** Imke Toborg (Halle)

**Title:** *Finite Simple 3′-Groups are Cyclic or Suzuki Groups*

**Abstract:**
It is a well known unpublished result of Thompson that all finite simple
3′-groups are cyclic of prime order or Suzuki groups. In the seventies
Glauberman showed that groups with order divisible by 2 but not by 3 are
groups with a strongly closed abelian 2-subgroup which are classified
by Goldschmidt in 1974. It is possible to prove the result of Thompson
without using Goldschmidt's classification in its full strength and ideas of
Stellmacher instead of Glauberman's.