Cover Image

On Periodic Locally Solvable Groups Decomposable into the Product of Two Locally Nilpotent Subgroups

We establish new results concerning various properties of a periodic locally solvable group G = A B with locally nilpotent subgroups A and B one of which is hyper-Abelian.

Saved in:

Bibliographic Details
Date:	2000
Main Authors:	Chernikov, N. S., Черников, Н. С.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2000
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4495
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

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

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

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

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

Properties of a Finite Group Representable as the Product of Two Nilpotent Groups
by: Chernikov, N. S., et al.
Published: (2001)

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

On π-Solvable and Locally π-Solvable Groups with Factorization
by: Putilov, S. V., et al.
Published: (2001)

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

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

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

On groups factorized by two subgroups with Chernikov commutants
by: Chernikov, N. S., et al.
Published: (2000)

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

Locally Nilpotent Groups with Weak Conditions of π-Layer Minimality and π-Layer Maximality
by: Khmelnitskii, N. A., et al.
Published: (2002)

Infinite locally finite simple groups with a nontrivial kernel of a centralizer of the elementary Abelian 2-subgroup
by: Chernikov, N. S., et al.
Published: (1988)

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

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

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

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)

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

Quotient groups of locally graded groups and groups of certain Kurosh-Chernikov classes
by: Trebenko, D. Ya., et al.
Published: (1998)

Infinite non-Abelian groups where all the infinite non-Abelian subgroups are invariant
by: Chernikov, S. N., et al.
Published: (1971)

Primary graded groups with complementable non-Frattini subgroups
by: Dovzhenko, S. A., et al.
Published: (1999)

Solvable subgroups in groups with self-normalizing subgroup
by: Yakovleva, E. N., et al.
Published: (2008)

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

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

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

Nonperiodic locally solvableT(Ā)-groups
by: Kuzennyi, N. F., et al.
Published: (1996)

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

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

Constructive description of finite nondispersed groups where all subgroups of the nonprimary index are Abelian
by: Chernikov , S. N., et al.
Published: (1992)

Groups with incidence condition for noncyclic subgroups
by: Polovitskii, Ya. D., et al.
Published: (1996)

On Socle and Semisimple Groups
by: Chernikov, N. S., et al.
Published: (2002)

Locally Nilpotent Derivations of Free Algebra of Rank Two
by: Drensky, V., et al.
Published: (2019)

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

On Solvable Normal Subgroups of Finite Groups
by: Gribovskaya, E. E., et al.
Published: (2002)

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

Factorization of linear groups and groups possessing a normal system with linear factors
by: Chernikov , N. S., et al.
Published: (1988)

On locally finite groups whose cyclic subgroups are GNA-subgroups
by: Pypka, A.A.
Published: (2017)

Decomposability of topological groups
by: Zelenyuk, E. G., et al.
Published: (1999)

Absolutely decomposable groups
by: Protasov, I. V., et al.
Published: (1996)