A sufficient condition for fixed points of a coprime action to have a normal complement


Kizmaz M. Y.

ARCHIV DER MATHEMATIK, cilt.112, ss.1-3, 2019 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 112 Konu: 1
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1007/s00013-018-1209-6
  • Dergi Adı: ARCHIV DER MATHEMATIK
  • Sayfa Sayıları: ss.1-3

Özet

Let A be a finite group acting on a finite group G via automorphisms. Assume that (|A|,|G|)=1. We prove that if CG(A) is a Hall -subgroup of G, then G has a normal -complement.