Cover Image

Large subgroups of almost nilpotent groups

The main result is theorem which states that any major subgroup M of nilpotent-by-finite group G contains derived subgroups of all normal nilpotent subgroups of finite index in G and that G/MG is a Chernikov group.

Saved in:

Bibliographic Details
Date:	1992
Main Author:	Tomkinson , М. J.
Format:	Article
Language:	English
Published:	Institute of Mathematics, NAS of Ukraine 1992
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/8024
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

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

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

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 high in almost normal subgroups
by: Kurdachenko , L. A., et al.
Published: (1988)

c*-supplemented subgroups and p -nilpotency of finite groups
by: Wang, Youyu, et al.
Published: (2007)

s-Conditionally Permutable Subgroups and p-Nilpotency of Finite Groups
by: Y. Xu, et al.
Published: (2014)

$s$-Conditionally Permutable Subgroups and $p$-Nilpotency of Finite Groups
by: Li, X. H., et al.
Published: (2014)

c * -Supplemented subgroups and p -nilpotency of finite groups
by: Wang, Youyu, et al.
Published: (2007)

Groups with Almost Normal Subgroups of Infinite Rank
by: Kuchmenko, S. N., et al.
Published: (2005)

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)

Second Maximal Subgroups of a Sylow p-Subgroup and the p-Nilpotency of Finite Groups
by: Y. Xu, et al.
Published: (2014)

On p-nilpotency of finite group with normally embedded maximal subgroups of some Sylow subgroups
by: Trofimuk, A.
Published: (2020)

Second Maximal Subgroups of a Sylow p-Subgroup and the p-Nilpotency of Finite Groups
by: Li, X. H., et al.
Published: (2014)

Groups, in which almost all subgroups are near to normal
by: Semko, M.M., et al.
Published: (2004)

A generalization of groups with many almost normal subgroups
by: Russo, F.G.
Published: (2010)

A generalization of groups with many almost normal subgroups
by: Russo, Francesco G.
Published: (2018)

On groups factorizable in commuting almost locally normal subgroups
by: Chernikov, N. S., et al.
Published: (1996)

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)

The influence of weakly s-permutably embedded subgroups on the p-nilpotency of finite groups
by: Changwen Li
Published: (2011)

The influence of weakly \(s\)-permutably embedded subgroups on the \(p\)-nilpotency of finite groups
by: Li, Changwen
Published: (2018)

Weakly SS-Quasinormal Minimal Subgroups and the Nilpotency of a Finite Group
by: T. Zhao, et al.
Published: (2014)

Weakly SS-Quasinormal Minimal Subgroups and the Nilpotency of a Finite Group
by: Zhang, Xirong, et al.
Published: (2014)

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

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

The groups whose cyclic subgroups are either ascendant or almost self-normalizing
by: Kurdachenko, L.A., et al.
Published: (2016)

The groups whose cyclic subgroups are either ascendant or almost self-normalizing
by: L. A. Kurdachenko, et al.
Published: (2016)

On a Factorizable Group with Large Cyclic Subgroups in Factors
by: I. K. Chirik
Published: (2015)

On a Factorizable Group with Large Cyclic Subgroups in Factors
by: Chirik, I. K., et al.
Published: (2015)

Discrete Cocompact Subgroups of the Five-Dimensional Connected and Simply Connected Nilpotent Lie Groups
by: Ghorbel, A., et al.
Published: (2009)

Periodic groups, whose cyclic subgroups either are ascendant or almost self-normalized
by: L. A. Kurdachenko, et al.
Published: (2015)

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

Non-periodic locally soluble groups with non-Dedekind locally nilpotent norm of decomposable subgroups
by: Lyman, F. N., et al.
Published: (2026)

On nilpotent Lie algebras of derivations with large center
by: Sysak, Kateryna
Published: (2016)

On nilpotent Lie algebras of derivations with large center
by: K. Sysak
Published: (2016)

On nilpotent Lie algebras of derivations with large center
by: Sysak, K.
Published: (2016)

On groups with a strongly imbedded subgroup having an almost layer-finite periodic part
by: Senashov, V. I., et al.
Published: (2012)

Some properties of nilpotent groups
by: Gaglione, Anthony M., et al.
Published: (2018)