On locally graded non-periodic barely transitive groups
Aynur Arikan (2007)
Rendiconti del Seminario Matematico della Università di Padova
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Aynur Arikan (2007)
Rendiconti del Seminario Matematico della Università di Padova
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Cansu Betin, Mahmut Kuzucuoğlu (2013)
Open Mathematics
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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 〈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.
James C. Beidleman, Howard Smith (1993)
Rendiconti del Seminario Matematico della Università di Padova
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V. V. Belyaev, M. Kuzucuoğlu, E. Seçkin (1999)
Rendiconti del Seminario Matematico della Università di Padova
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L. A. Kurdachenko, I. Ya. Subbotin, T. I. Ermolkevich (2013)
Mathematica Bohemica
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The current article considers some infinite groups whose finitely generated subgroups are either permutable or pronormal. A group is called a generalized radical, if has an ascending series whose factors are locally nilpotent or locally finite. The class of locally generalized radical groups is quite wide. For instance, it includes all locally finite, locally soluble, and almost locally soluble groups. The main result of this paper is the followingTheorem. Let be a locally generalized...
Brunella Bruno, Richard E. Phillips (1983)
Rendiconti del Seminario Matematico della Università di Padova
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