Finite groups having centralizer commutator product property


ERCAN G.

RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, vol.64, no.3, pp.341-346, 2015 (Journal Indexed in ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 64 Issue: 3
  • Publication Date: 2015
  • Doi Number: 10.1007/s12215-015-0192-z
  • Title of Journal : RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO
  • Page Numbers: pp.341-346

Abstract

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.