Cover Image

Structure of certain classes of groups with locally cyclic Abelian subgroups

We investigate groups with locally cyclic Abelian subgroups. We give a constructive description of locally solvable groups of this type that contain a nonidentity periodic part; we also describe locally solvable groups all Abelian subgroups of which are cyclic.

Saved in:

Bibliographic Details
Date:	1999
Main Authors:	Kuzennyi, N. F., Maznichenko, S. V., Кузенний, М. Ф., Мазніченко, С. В.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 1999
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4766
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 groups with cyclic Abelian subgroups
by: Maznichenko, S. V., et al.
Published: (1998)

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

On groups with invariant infinite non-Abelian subgroups
by: Kuzenny , N. F., et al.
Published: (1988)

On locally finite groups whose cyclic subgroups are \(\mathrm{GNA}\)-subgroups
by: Pypka, Aleksandr A.
Published: (2018)

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

Groups whose all infinite Abelian pd-subgroups are normal
by: Liman , F. N., et al.
Published: (1992)

p-Groups with cyclic subgroup of index p and local nearrings
by: Raievska, M. Yu.; Інститут математики НАН України, Київ
Published: (2024)

Commutator structure of certain subgroups of the Shevale groups
by: Levchuk , V. M., et al.
Published: (1992)

On Infinite Groups with Complemented Non-Abelian Subgroups
by: P. P. Baryshovets
Published: (2013)

Infinite Groups with Complemented Non-Abelian Subgroups
by: P. P. Baryshovets
Published: (2015)

On Infinite Groups with Complemented Non-Abelian Subgroups
by: Baryshovets, P. P., et al.
Published: (2013)

Infinite Groups with Complemented Non-Abelian Subgroups
by: Baryshovets, P. P., et al.
Published: (2015)

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

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

Groups all cyclic subgroups of which are BNA-subgroups
by: X. He, et al.
Published: (2017)

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

Groups all cyclic subgroups of which are BN A-subgroups
by: He, X., et al.
Published: (2017)

About the structure of finite groups, whose all non-Abelian subgroups are subnormal
by: L. A. Kurdachenko, et al.
Published: (2014)

Finite p-groups with complementable maximal cyclic subgroups
by: Kreknin, V. A., et al.
Published: (1992)

On locally graded groups with minimality condition for a certain system of nonhypercentral subgroups
by: Artemovich, O. D., et al.
Published: (1999)

On the existence of complements in a group to some abelian normal subgroups
by: Dixon, M.R., et al.
Published: (2010)

On the existence of complements in a group to some abelian normal subgroups
by: Dixon, Martyn R., et al.
Published: (2018)

Finite $ABA$-groups with Abelian $p$-subgroups $A$ and $B$
by: Sysak , Ya. P., et al.
Published: (1988)

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)

Quotient Groups of Groups of Certain Classes
by: Trebenko, D. Ya., et al.
Published: (2000)

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

On hypercentral expansions of the Abelian Groups
by: Zaitsev, О. I., et al.
Published: (1988)

Structure of separative dedekind groups
by: Kuzennyi, N. F., et al.
Published: (1996)

Groups satisfying a weak minimum condition for non-Abelian subgroups
by: Zaitsev, D. I., et al.
Published: (1971)

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)

Finite groups with complementable maximal primary cyclic subgroups
by: Mel'nik, I. I., et al.
Published: (1997)

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

Structure of one class of groups with conditions of denseness of normality for subgroups
by: Semko, N. N., et al.
Published: (1997)

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

Groups Proper Nonmaximal Subgroups of Which Are Cyclic or Minimal Noncyclic
by: Koval, Т. V., et al.
Published: (2000)

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

Groups with the finite number of infinite classes of conjugated subgroups
by: Izosov , A. V., et al.
Published: (1988)

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)