On locally graded barely transitive groups

Betin, Cansu
Kuzucuoğlu, Mahmut
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.

Citation Formats
C. Betin and M. Kuzucuoğlu, “On locally graded barely transitive groups,” CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, vol. 11, no. 7, pp. 1188–1196, 2013, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/38465.