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Frobenius groups of automorphisms with almost fixed point free kernel
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index.pdf
Date
2019-03-01
Author
Ercan, Gülin
Güloğlu, İsmail Şuayip
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This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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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 vertical bar C-G(F)vertical bar and vertical bar F vertical bar. This generalizes a result of Khukhro and Makarenko [6] which handles the case n = 1.
Subject Keywords
Solvable group
,
Automorphism
,
Fitting length
,
Frobenius group
URI
https://hdl.handle.net/11511/37246
Journal
JOURNAL OF ALGEBRA
DOI
https://doi.org/10.1016/j.jalgebra.2018.12.004
Collections
Department of Mathematics, Article