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Finite groups having centralizer commutator product property
Date
2015-12-01
Author
Ercan, Gülin
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Let a be an automorphism of a finite group G and assume that G = {[g, alpha] : g is an element of G} . C-G(alpha). We prove that the order of the subgroup [G, alpha] is bounded above by n(log2(n+1)) where n is the index of C-G(alpha) in G.
Subject Keywords
Automorphism
,
Commutator
,
Fixed point subgroup
,
Centralizer
URI
https://hdl.handle.net/11511/35196
Journal
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO
DOI
https://doi.org/10.1007/s12215-015-0192-z
Collections
Department of Mathematics, Article