Finite groups having centralizer commutator product property


ERCAN G.

RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, cilt.64, ss.341-346, 2015 (ESCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 64 Konu: 3
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1007/s12215-015-0192-z
  • Dergi Adı: RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO
  • Sayfa Sayıları: ss.341-346

Özet

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.