Evgeny Khukhro giving a talk in Bristol
Evgeny Khukhro is giving a talk “Finite groups with Frobenius groups of automorphisms” at Bristol University Algebra & Geometry Seminar, 17 June 2015, 2.30 PM
http://www.bristol.ac.uk/maths/events/2015/evgeny-khukhro.html
Abstract: Suppose that a finite group G admits a Frobenius group of automorphisms FH with kernel F and complement H such that CG(F) = 1. The condition CG(F) = 1 alone already implies that G is soluble and has Fitting height bounded in terms of F. Finer results on the structure of G can be derived by using the “additional” action of H. There are good reasons to expect many properties and parameters of G to be close to the same properties and parameters of CG(H) (possibly, also depending on |H|). Examples of such properties and parameters include the order, rank, Fitting height, nilpotency class, and exponent. I will discuss several recent results in this direction, as well as generalizations and open problems. Results concerning bounding the order, sectional rank, and Fitting height of G are based on representation theory. Various Lie ring methods are used for bounding the nilpotency class and exponent of G.
Charlotte Scott Centre for Algebra 
Reblogged this on Lincoln School of Mathematics and Physics.
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