Displaying similar documents to “Перестановочность подгрупп и ≥ r m F -субнормальность”

On normal subgroups of compact groups

Nikolay Nikolov, Dan Segal (2014)

Journal of the European Mathematical Society

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Among compact Hausdorff groups G whose maximal profinite quotient is finitely generated, we characterize those that possess a proper dense normal subgroup. We also prove that the abstract commutator subgroup [ H , G ] is closed for every closed normal subgroup H of G .

Finite Groups with Weakly s-Permutably Embedded and Weakly s-Supplemented Subgroups

Changwen Li (2011)

Bulletin of the Polish Academy of Sciences. Mathematics

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Suppose G is a finite group and H is a subgroup of G. H is called weakly s-permutably embedded in G if there are a subnormal subgroup T of G and an s-permutably embedded subgroup H s e of G contained in H such that G = HT and H ∩ T ≤ H s e ; H is called weakly s-supplemented in G if there is a subgroup T of G such that G = HT and H ∩ T ≤ H s G , where H s G is the subgroup of H generated by all those subgroups of H which are s-permutable in G. We investigate the influence of the existence of s-permutably embedded and...