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

Kizmaz M. Y.

ARCHIV DER MATHEMATIK, vol.112, no.1, pp.1-3, 2019 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 112 Issue: 1
  • Publication Date: 2019
  • Doi Number: 10.1007/s00013-018-1209-6
  • Journal Name: ARCHIV DER MATHEMATIK
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1-3
  • Middle East Technical University Affiliated: Yes

Abstract

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.