Charlotte Scott Centre for Algebra

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 *C _{G}*(

*F*)

*=*1. The condition

*C*(

_{G}*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

*C*(

_{G}*H*) (possibly, also depending on |

*H*|). Examples of such properties and parameters include the order, rank, Fitting height, nilpotency class, and…

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