SEMINAR: Groups and Combinatorics Seminar: Relative elementary groups and their applications

Time and place: 16:00 Friday 22 April in Blakers LT

Speaker: Cai-Heng Li (UWA)

Title: Relative elementary groups and their applications

Abstract: Motivated by some problems about Cayley graphs and permutation groups, we introduce and study a class of finite groups G, called REA-groups, which behave similarly to elementary abelian p-groups with p prime, that is, there exists a subgroup N  such that all elements of G-N are conjugate or inverse-conjugate under Aut(G).

In this talk, I will report on some interesting properties of REA-groups and explain the relations between REA-groups with imprimitive permutation groups of rank 3 and normal Cayley graph representations of multi-partite complete graphs.