On locally graded barely transitive groups

Betin C., KUZUCUOĞLU M.

CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, cilt.11, sa.7, ss.1188-1196, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 7
  • Basım Tarihi: 2013
  • Doi Numarası: 10.2478/s11533-013-0240-x
  • Dergi Adı: CENTRAL EUROPEAN JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1188-1196
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

We show that a barely transitive group is totally imprimitive if and only if it is locally graded. Moreover, we obtain the description of a barely transitive group G for the case G has a cyclic subgroup aOE (c) x > which intersects non-trivially with all subgroups and for the case a point stabilizer H of G has a subgroup H (1) of finite index in H satisfying the identity chi(H (1)) = 1, where chi is a multi-linear commutator of weight w.