Frobenius groups of automorphisms with almost fixed point free kernel

Date

2019-03-01

Author

Ercan, Gülin
Güloğlu, İsmail Şuayip

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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

Collections

Department of Mathematics, Article