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On locally graded barely transitive groups
Date
2013-07-01
Author
Betin, Cansu
Kuzucuoğlu, Mahmut
Metadata
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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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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.
Subject Keywords
Locally graded groups
,
Locally finite groups
,
Quasi-finite groups
,
Splitting automorphism
URI
https://hdl.handle.net/11511/38465
Journal
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS
DOI
https://doi.org/10.2478/s11533-013-0240-x
Collections
Department of Mathematics, Article
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C. Betin and M. Kuzucuoğlu, “On locally graded barely transitive groups,”
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS
, pp. 1188–1196, 2013, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/38465.