Finite groups admitting a dihedral group of automorphisms


Ercan G. , Güloğlu İ. Ş.

ALGEBRA & DISCRETE MATHEMATICS, cilt.23, ss.223-229, 2017 (ESCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 23
  • Basım Tarihi: 2017
  • Dergi Adı: ALGEBRA & DISCRETE MATHEMATICS
  • Sayfa Sayıları: ss.223-229

Özet

Let D = alpha, beta be a dihedral group generated by the involutions alpha and beta and let F = alpha beta). Suppose that D acts on a finite group G by automorphisms in such a way that C-G(F)= 1. In the present paper we prove that the nilpotent, length of the group Cr' is equal to the maximum of the nilpotent lengths of the subgroups C-G (alpha) and C-G(beta).