THE INFLUENCE OF HUGHES TYPE ACTION


Ercan G., Güloğlu İ. Ş.

COMMUNICATIONS IN ALGEBRA, vol.43, pp.1898-1902, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 43
  • Publication Date: 2015
  • Doi Number: 10.1080/00927872.2013.879432
  • Journal Name: COMMUNICATIONS IN ALGEBRA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1898-1902
  • Middle East Technical University Affiliated: Yes

Abstract

We call the action of an automorphism of a finite group G a Hughes type action if it is described by conditions on the orders of elements of G-G. In the present paper we study the structure of finite group G admitting an automorphism of prime order p so that the orders of elements in G-G are not divisible by p(2).