Charlotte Scott Centre for Algebra

School of Mathematics & Physics, University of Lincoln

Evgeny Khukhro’s talk in Brasilia

P1010744a talk271115

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 G admits a Frobenius group of automorphisms FH with complement H whose kernel F=\langle\varphi\rangle is generated by a splitting automorphism \varphi of prime order p (that is, such that xx^{\varphi}\cdots x^{\varphi^{p-1}}=1 for all x\in G), then G is nilpotent of class bounded in terms of p and the derived length of C_G(H).  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 \varphi =1.

 

One comment on “Evgeny Khukhro’s talk in Brasilia

  1. Andrei Zvelindovsky
    December 2, 2015

    Reblogged this on Maths & Physics News.

    Like

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This entry was posted on December 2, 2015 by in News and announcements, Recent places, Talks and visits.
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