Cover Image

Non-periodic locally soluble groups with non-Dedekind locally nilpotent norm of decomposable subgroups

UDC 512.544 We study the relations between the properties of nonperiodic groups and the norms of their decomposable subgroups. The influence of restrictions imposed on the norm of decomposable subgroups and on the properties of the group is analyzed under the condition that this norm is non-Dedekin...

Full description

Saved in:

Bibliographic Details
Date:	2026
Main Authors:	Lyman, F. N., Lukashova, T. D., Лиман, Ф. Н., Лукашова, Т. Д.
Format:	Article
Language:	Ukrainian
Published:	Institute of Mathematics, NAS of Ukraine 2026
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/1532
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

Non-periodic locally soluble groups with non-Dedekind locally nilpotent norm of decomposable subgroups
by: F. M. Lyman, et al.
Published: (2019)

On the Norm of Decomposable Subgroups in Locally Finite Groups
by: Lyman, F. N., et al.
Published: (2015)

On the norm of decomposable subgroups in nonperiodic groups
by: Liman, F. N., et al.
Published: (2015)

On the Norm of Decomposable Subgroups in Locally Finite Groups
by: F. N. Liman, et al.
Published: (2015)

On Periodic Locally Solvable Groups Decomposable into the Product of Two Locally Nilpotent Subgroups
by: Chernikov, N. S., et al.
Published: (2000)

On the norm of decomposable subgroups in nonperiodic groups
by: F. N. Liman, et al.
Published: (2015)

Locally soluble groups with the restrictions on the generalized norms
by: Lukashova, T.
Published: (2020)

Locally soluble groups with the restrictions on the generalized norms
by: Lukashova, T.
Published: (2020)

Factorization of Periodic Locally Solvable Groups by Locally Nilpotent and Nilpotent Subgroups
by: Chernikov, N. S., et al.
Published: (2001)

On groups with the minimal condition for non-invariant decomposable abelian subgroups
by: Lyman, F.N., et al.
Published: (2006)

On Infinite Groups with Given Properties of the Norm of Infinite Subgroups
by: Lyman, F. N., et al.
Published: (2001)

On Noncyclic Norm of Infinite Locally Finite Groups
by: Lukashova, T. D., et al.
Published: (2002)

On $p$-nilpotent and $p$-decomposable subgroups of finite groups
by: Чунихин, С. А.
Published: (1971)

On finite solvable groups decomposable into the product of two nilpotent subgroups
by: Chernikov, N. S., et al.
Published: (2000)

Locally nilpotent groups of finite non-Abelian sectional rank
by: Dashkova, O. Yu., et al.
Published: (1995)

On relations between generalized norms in locally finite groups
by: Lukashova, Tetiana, et al.
Published: (2025)

Local nilpotent groups satisfying a weak condition of minimality or maximality for subgroups of fixed degree of nilpotency
by: Onishchuk , V. A., et al.
Published: (1992)

Generalized norms of groups
by: M. Drushlyak, et al.
Published: (2016)

On locally soluble AFN-groups
by: Dashkova, O.Yu.
Published: (2012)

On locally soluble AFN-groups
by: Yu. Dashkova
Published: (2012)

Locally soluble AFA-groups
by: Ju. Dashkova
Published: (2013)

Locally soluble AFA-groups
by: Dashkova, O. Yu., et al.
Published: (2013)

A survey article on some subgroup embeddings and local properties for soluble PST-groups
by: Beidleman, James C.
Published: (2017)

A survey article on some subgroup embeddings and local properties for soluble PST-groups
by: J. C. Beidleman
Published: (2017)

On modules over integer-valued group rings of locally soluble groups with rank restrictions imposed on subgroups
by: Dashkova, O. Yu., et al.
Published: (2011)

On some non-periodic groups whose cyclic subgroups are GNA-subgroups
by: Pypka, A A.
Published: (2020)

Complementability criterion of periodical almost soluble subgroups in the group containing it
by: Chernikov , S. N., et al.
Published: (1992)

Generalized norms of groups
by: Drushlyak, M.G., et al.
Published: (2016)

A nilpotent non abelian group code
by: Nebe, G., et al.
Published: (2014)

A nilpotent non abelian group code
by: G. Nebe, et al.
Published: (2014)

Major subgroups of nilpotent-by-finite groups
by: Тоmкіnsоn, M.J.
Published: (1992)

Large subgroups of almost nilpotent groups
by: Tomkinson , М. J.
Published: (1992)

On some locally soluble infinite dimensional linear groups
by: Dashkova, O. Yu.
Published: (2018)

On some locally soluble infinite dimensional linear groups
by: Dashkova, O.Yu.
Published: (2008)

New characterizations of locally nilpotent $\bar{IH}$-groups
by: Kuzenny , N. F., et al.
Published: (1988)

On the locally nilpotent groups with a centralisator of the finite rank
by: Onishchuk, V.A., et al.
Published: (1992)

On verbal subgroups of finitely generated nilpotent groups
by: Bier, A.
Published: (2009)

Finitely solvable groups with nilpotent wide subgroups
by: V. S. Monakhov, et al.
Published: (2016)

Finitely solvable groups with nilpotent wide subgroups
by: Monakhov, V. S., et al.
Published: (2016)

On Groups with Minimality Condition for Noninvariant Abelian pd-Subgroups
by: Lyman, F. N., et al.
Published: (2005)