Locally soluble groups with the restrictions on the generalized norms

• Published in: Algebra and Discrete Mathematics
• Date: 2020
• Main Author: Lukashova, T.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188504
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Locally soluble groups with the restrictions on the generalized norms / T. Lukashova // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 1. — С. 85–98. — Бібліогр.: 17 назв. — англ.

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.