On Locally Graded Barely Transitive Groups
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Date
2013
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
versita
Open Access Color
GOLD
Green Open Access
No
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No
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Abstract
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.
Description
Onur, Cansu Betin/0000-0002-3691-1469;
ORCID
Keywords
Locally graded groups, Locally finite groups, Quasi-finite groups, Splitting automorphism, splitting automorphism, quasi-finite groups, 20e25, QA1-939, locally graded groups, locally finite groups, Mathematics, barely transitive groups, General theory for infinite permutation groups, infinite permutation groups, Periodic groups; locally finite groups, Local properties of groups
Turkish CoHE Thesis Center URL
Fields of Science
0102 computer and information sciences, 0101 mathematics, 01 natural sciences
Citation
WoS Q
Q2
Scopus Q
Q1
OpenCitations Citation Count
N/A
Source
Open Mathematics
Volume
11
Issue
7
Start Page
1188
End Page
1196
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Scopus : 2
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