Centralizers of involutions in locally finite groups

Kuzucuoglu M., Shumyatsky P.

COMMUNICATIONS IN ALGEBRA, vol.35, no.10, pp.3253-3262, 2007 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 35 Issue: 10
  • Publication Date: 2007
  • Doi Number: 10.1080/00914030701410336
  • Journal Name: COMMUNICATIONS IN ALGEBRA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.3253-3262
  • Middle East Technical University Affiliated: Yes

Abstract

The present article deals with locally finite groups G having an involution phi such that C-G(phi) is an SF-group. It is shown that G possesses a normal subgroup B which is a central product of. nitely many groups isomorphic to PSL(2, K-i) or SL(2, Ki) for some in finite locally finite fields K-i of odd characteristic, such that [G, phi]'/B and G/[G, phi] are both SF-groups.