Onur, Cansu BetinBetin, CansuKuzucuoglu, MahmutMathematics2024-07-052024-07-05200930092-78721532-412510.1080/009278708022100762-s2.0-70449561430https://doi.org/10.1080/00927870802210076https://hdl.handle.net/20.500.14411/1001Onur, Cansu Betin/0000-0002-3691-1469We 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.eninfo:eu-repo/semantics/closedAccessLocally finite groupsPermutable subgroupQuasi finite groupsArticleQ337619011907WOS:000266720800005