On locally graded barely transitive groups
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, vol.11, no.7, pp.1188-1196, 2013 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 11 Issue: 7
- Publication Date: 2013
- Doi Number: 10.2478/s11533-013-0240-x
- Journal Name: CENTRAL EUROPEAN JOURNAL OF MATHEMATICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.1188-1196
- Middle East Technical University Affiliated: Yes
Abstract
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.