T. Lukashova, “Locally soluble groups with the restrictions on the generalized norms”, Algebra Discrete Math., 2020, Volume 29, Issue 1,Pages <nobr>85

This article is cited in 3 papers

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

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.

MSC: 20D25, 20E28

Received: 15.01.2020

Language: English

DOI: 10.12958/adm1527