Onur, Cansu BetinBetin, CansuKuzucuoglu, MahmutMathematics2024-07-052024-07-05201301895-107410.2478/s11533-013-0240-x2-s2.0-84876934108https://doi.org/10.2478/s11533-013-0240-xhttps://hdl.handle.net/20.500.14411/388Onur, Cansu Betin/0000-0002-3691-1469;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.eninfo:eu-repo/semantics/openAccessLocally graded groupsLocally finite groupsQuasi-finite groupsSplitting automorphismArticle11711881196WOS:000318278400003