Kolloquien und Oberseminare Übersicht Detail

Vortragende Person/Vortragende Personen:
Mima Stanojkovski (Leiden University, Netherlands)

Diese Veranstaltung ist Teil der Veranstaltungsreihe „Frauen in der Mathematik“.

Abstract:
Let G be a finite group. A good strategy for understanding the structure of G is that of studying its group of symmetries, Aut(G). Let Int(G) be the subgroup of Aut(G) consisting of those automorphisms (called 'intense') that send each subgroup of G to a conjugate. Intense automorphisms arise naturally as solutions to a problem coming from Galois cohomology, still they give rise to a greatly entertaining theory on its own. We will discuss the case of groups of prime power order and we will see that, if G has prime power order but Int(G) does not, then the structure of G is (surprisingly!) almost completely determined by its nilpotency class.