On locally graded barely transitive groups

• Autorzy: Cansu Betin , Mahmut Kuzucuoğlu
• Języki publikacji: EN

Abstrakty

EN

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 〈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 χ(H 1) = 1, where χ is a multi-linear commutator of weight w.

Słowa kluczowe

EN

Locally graded groups; Locally finite groups; Quasi-finite groups; Splitting automorphism

Kategorie tematyczne

• 20E25: Local properties

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2013
• Tom: 11
• Numer: 7
• Strony: 1188-1196

Daty

wydano

2013-07-01

online

2013-04-26

Twórcy

autor

Cansu Betin

• Department of Mathematics, Atılım University, Ankara, 06836, Turkey

autor

Mahmut Kuzucuoğlu

• Department of Mathematics, Middle East Technical University, Ankara, 06531, Turkey

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-013-0240-x