Centralizers of involutions in locally finite groups

Kuzucuoglu M., Shumyatsky P.

COMMUNICATIONS IN ALGEBRA, cilt.35, sa.10, ss.3253-3262, 2007 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 35 Sayı: 10
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1080/00914030701410336
  • Dergi Adı: COMMUNICATIONS IN ALGEBRA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.3253-3262
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

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.