Geodesic
Locally soluble groups with the restrictions on the generalized norms
Algebra and discrete mathematics, Tome 29 (2020) no. 1, pp. 85-98

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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, generalized norms of groups, norm of decomposable subgroups, norm of Abelian non-cyclic subgroups, non-Dedekind group.
Mots-clés : decomposable group 
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     author = {T. Lukashova},
     title = {Locally soluble groups with the restrictions on the generalized norms},
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     url = {http://geodesic.mathdoc.fr/item/ADM_2020_29_1_a7/}
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T. Lukashova. Locally soluble groups with the restrictions on the generalized norms. Algebra and discrete mathematics, Tome 29 (2020) no. 1, pp. 85-98. http://geodesic.mathdoc.fr/item/ADM_2020_29_1_a7/