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Communities & Collections
A GENERALIZED FIXED-POINT-FREE ACTION
Date
2013-05-01
Author
Güloğlu, İsmail Şuayip
Ercan, Gülin
Metadata
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This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
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In this paper we study the structure of a finite group G admitting a solvable group A of automorphisms of coprime order so that for any x epsilon C-G(A) of prime order or of order 4, every conjugate of x in G is also contained in C-G(A). Under this hypothesis it is proven that the subgroup [G, A] is solvable. Also an upper bound for the nilpotent height of [G, A] in terms of the number of primes dividing the order of A is obtained in the case where A is abelian.
Subject Keywords
Solvable
,
Nilpotent height
,
Automorphism
,
Fixed point free action
URI
https://hdl.handle.net/11511/42052
Journal
JOURNAL OF ALGEBRA AND ITS APPLICATIONS
DOI
https://doi.org/10.1142/s0219498812501721
Collections
Department of Mathematics, Article