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