Displaying similar documents to “On imprimitive groups with small degree”

The structure of transitive ordered permutation groups

Zhu, Zuo-Tong, Huang Zhenyu (1999)

Czechoslovak Mathematical Journal

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We give some necessary and sufficient conditions for transitive l -permutation groups to be 2 -transitive. We also discuss primitive components and give necessary and sufficient conditions for transitive l -permutation groups to be normal-valued.

K -groups and wreath products

Mauro Costantini, Giovanni Zacher (2005)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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We give criteria for a wreath product to have complemented subgroup-lattice.

On locally graded barely transitive groups

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.