Frobenius groups of automorphisms with almost fixed point free kernel

2018/07/22 by Ercan, Gülin, Güloğlu, İsmail Ş.
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1807.08329

Abstract

Let FH be a Frobenius group with kernel F and complement H, acting coprimely on the finite solvable group G by automorphisms. We prove that if C_G(H) is of Fitting length n then the index of the n-th Fitting subgroup F_n(G) in G is bounded in terms of |C_G(F)| and |F|. This generalizes a result of Khukhro and Makarenko \citek-m which handles the case n=1.

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