A generalization of a theorem of Camina and Herzog

Add to your list(s) Download to your calendar using vCal

• Ellen Henke, University of Aberdeen
• Wednesday 11 March 2015, 16:30-17:30
• Watson Building, Lecture Room A.

If you have a question about this talk, please contact David Craven.

An old result of Camina and Herzog states that a finite group G has abelian Sylow 2-subgroups, provided |G : C_G(x)| is odd for any 2-element x ∈ G. In my talk, I will report about a generalization of this theorem to saturated fusion systems, which was conjectured by Kühlshammer, Navarro, Sambale and Tiep. This does not only lead to a significant simplification of the proof of the theorem of Camina and Herzog, but also implies a new result in block theory. In my talk I will explain the proof of the main result and give an introduction to the theory of fusion systems along the way.

The talk will be accessible to PhD students.

This talk is part of the Algebra Seminar series.

This talk is included in these lists:

• Algebra Seminar
• School of Mathematics Events
• Watson Building, Lecture Room A

Note that ex-directory lists are not shown.