On locally graded barely transitive groups

Date

2013-07-01

Author

Betin, Cansu
Kuzucuoğlu, Mahmut

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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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Citation Formats

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.