Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
Description of Barely Transitive Groups with Soluble Point Stabilizer
Date
2009-6-4
Author
Betin, Cansu
Kuzucuoğlu, Mahmut
Metadata
Show full item record
Item Usage Stats
107
views
0
downloads
Cite This
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.
Subject Keywords
Locally finite groups
,
Permutable subgroup
,
Quasi finite groups
URI
https://hdl.handle.net/11511/28585
Journal
Communications in Algebra
DOI
https://doi.org/10.1080/00927870802210076
Collections
Department of Mathematics, Article
Suggestions
OpenMETU
Core
On the condensation property of the lamplighter groups and groups of intermediate growth
Benli, Mustafa Gökhan (Lugansk Taras Shevchenko National University, 2014-06-01)
The aim of this short note is to revisit some old results about groups of intermediate growth and groups of the lamplighter type and to show that the Lamplighter group L = Z2 ≀ Z is a condensation group and has a minimal presentation by generators and relators. The condensation property is achieved by showing that L belongs to a Cantor subset of the space M2 of marked 2-generated groups consisting mostly of groups of intermediate growth.
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.
About the decomposability of almost completely decomposable groups
Budak, Canan; Solak, Ebru; Department of Mathematics (2020-8)
Almost completely decomposable groups are extensions of completely decomposable groups of finite index. They can be written as a sum of indecomposables. Every almost completely decomposable group is the direct sum of indecomposables but this decomposition is quite complicated and not unique. Almost completely decomposable groups can be represented by matrices, called coordinate matrices. If the coordinate matrix of a given almost completely decomposable group is decomposable then the group is decomposable. ...
Universal groups of intermediate growth and their invariant random subgroups
Benli, Mustafa Gökhan; Nagnibeda, Tatiana (2015-07-01)
We exhibit examples of groups of intermediate growth with ergodic continuous invariant random subgroups. The examples are the universal groups associated with a family of groups of intermediate growth.
Locally finite groups and their subgroups with small centralizers
ERSOY, KIVANÇ; Kuzucuoğlu, Mahmut; Shunwatsky, Pavel (2017-07-01)
Let p be a prime and G a locally finite group containing an elementary abelian p-subgroup A of rank at least 3 such that C-G(A) is Chernikov and C-G(a) involves no infinite simple groups for any a is an element of A(#). We show that G is almost locally soluble (Theorem 1.1). The key step in the proof is the following characterization of PSLp(k): An infinite simple locally finite group G admits an elementary abelian p-group of automorphisms A such that C-G(A) is Chernikov and C-G(A) Keywords: involves no inf...
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
C. Betin and M. Kuzucuoğlu, “Description of Barely Transitive Groups with Soluble Point Stabilizer,”
Communications in Algebra
, pp. 1901–1907, 2009, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/28585.