School of Mathematics & Physics, University of Lincoln
On 27 November 2015 Evgeny Khukhro gave a talk at Algebra Seminar of University of Brasilia Finite groups with a Frobenius group of automorphisms whose kernel is generated by a splitting automorphism of prime order.
Abstract: It is proved that if a finite group admits a Frobenius group of automorphisms with complement whose kernel is generated by a splitting automorphism of prime order (that is, such that for all ), then is nilpotent of class bounded in terms of and the derived length of . The proof is based on the author’s original method of elimination of operators by nilpotency and a joint result with P. Shumyatsky about groups of prime exponent corresponding to the case .
Reblogged this on Maths & Physics News.