Locally soluble groups with the restrictions on the generalized norms

T. Lukashova

Abstract


The author studies groups with given restrictions on norms of decomposable and Abelian non-cyclic subgroups. The properties of non-periodic locally soluble groups, in which such norms are nonidentity and have the identity intersection, are described.


Keywords


locally soluble groups, non-periodic group, decomposable group, generalized norms of groups, norm of decomposable subgroups, norm of Abelian non-cyclic subgroups, non-Dedekind group

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DOI: http://dx.doi.org/10.12958/adm1527

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