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Article Citation - WoS: 1Citation - Scopus: 2On Locally Graded Barely Transitive Groups(versita, 2013) Betin, Cansu; Kuzucuoglu, MahmutWe 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.Article Citation - WoS: 3Citation - Scopus: 3Description of Barely Transitive Groups With Soluble Point Stabilizer(Taylor & Francis inc, 2009) Betin, Cansu; Kuzucuoglu, MahmutWe describe the barely transitive groups with abelian-by-finite, nilpotent-by-finite and soluble-by-finite point stabilizer. In article [6] Hartley asked whether there is a torsionfree barely transitive group. One consequence of our results is that there is no torsionfree barely transitive group whose point stabilizer is nilpotent. Moreover, we show that if the stabilizer of a point is a permutable subgroup of an infinitely generated barely transitive group G, then G is locally finite.
