Barely transitive groups

This is a survey article on barely transitive groups. It also involves some recent results in the case of a non-locally finite barely transitive group.


Description of Barely Transitive Groups with Soluble Point Stabilizer
Betin, Cansu; Kuzucuoğlu, Mahmut (Informa UK Limited, 2009-6-4)
We 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.
On locally graded barely transitive groups
Betin, Cansu; Kuzucuoğlu, Mahmut (2013-07-01)
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.
Socio-political identity and intergroup perception : the case of "Ülkücü group" in Turkey
Dalmış, İbrahim; İmamoğlu, Emine Olcay; Department of Psychology (2003)
This thesis consists of two studies together with a preliminary study, focusing on the issue of ingroup representation of the ülkücü group. The first study, addressing the problems of stereotype content, stereotype accuracy, and stereotype consensus, was based on in-depth interviewing with twenty members of the ülkücü group. It was hypothesized that the group members, when their social identities were salient, would locate the ingroup within a chronic way of looking at the world, namely the perceived contex...
Barely transitive groups
Betin, Cansu; Kuzucuoğlu, Mahmut; Department of Mathematics (2007)
A group G is called a barely transitive group if it acts transitively and faithfully on an infinite set and every orbit of every proper subgroup is finite. A subgroup H of a group G is called a permutable subgroup, if H commutes with every subgroup of G. We showed that if an infinitely generated barely transitive group G has a permutable point stabilizer, then G is locally finite. We proved that if a barely transitive group G has an abelian point stabilizer H, then G is isomorphic to one of the followings: ...
Analyzing the effects of the personality traits on the success of online collaborative groups
Kucukozer-Cavdar, Seyma; Taşkaya Temizel, Tuğba (Elsevier BV; 2016-06-23)
The purpose of this study is to analyze how efficient online study groups can be formed among students based on their personality traits. A survey consisting of Ten Item Personality Inventory (TIPI) was conducted among the undergraduate students in a well-known university. Eighty-two students who did not know each other were assigned to 35 small online groups based on their personality characteristics. The group members were then asked to study collaboratively on a task by communicating via the university's...
Citation Formats
M. Kuzucuoğlu, “Barely transitive groups,” TURKISH JOURNAL OF MATHEMATICS, pp. 79–94, 2007, Accessed: 00, 2020. [Online]. Available: