Professor Brozovic invites you to attend the Master's project defense of Katheryn Carmichael

"The Structure of Zassenhaus Groups"

Abstract:

Frobenius groups are transitive non-regular permutation groups in which every non-identity element fixes 0 or 1 point. Zassenhaus groups are the natural generalization of Frobenius groups: 2-transitive permutation groups with no regular normal subgroup such that every 1-point stabilizer acts as a Frobenius group on the remaining points. That is, a Zassenhaus group is a 2-transitive group of permutations such that every non-identity element fixes 0, 1, or 2 points, and it has no regular normal subgroups. Unlike Frobenius groups, it is possible to classify the Zassenhaus groups. We will describe the groups that can occur, including a relatively new description of the Suzuki groups due to Robert Wilson.

Cookies and coffee will be served in GAB 472 following the event.