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ЖУРНАЛЫ // Algebra and Discrete Mathematics // Архив

Algebra Discrete Math., 2020, том 29, выпуск 1, страницы 85–98 (Mi adm741)

Эта публикация цитируется в 3 статьях

RESEARCH ARTICLE

Locally soluble groups with the restrictions on the generalized norms

T. Lukashova

Taras Shevchenko National University of Kyiv, Volodymyrska 60, Kyiv, Ukraine, 01033

Аннотация: 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.

Ключевые слова: 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.

MSC: 20D25, 20E28

Поступила в редакцию: 15.01.2020

Язык публикации: английский

DOI: 10.12958/adm1527



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