COMMUNICATIONS IN ALGEBRA, vol.37, no.6, pp.1901-1907, 2009 (SCI-Expanded)
Article / Article
COMMUNICATIONS IN ALGEBRA
Science Citation Index Expanded (SCI-EXPANDED), Scopus
Locally finite groups, Permutable subgroup, Quasi finite groups, INFINITE GROUPS, SUBGROUPS
Middle East Technical University Affiliated:
We describe the barely transitive groups with abelian-by-finite, nilpotent-by-finite and soluble-by-finite point stabilizer. In article  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.