Cover Image

On a class of groups with invariant subgroups of the infinite index

Изучены бесконечные неабелевы группы, в которых инвариантны все подгруппы бесконечного индекса, не содержащиеся в некоторой собственной подгруппе. Доказано, что существует пять типов таких групп....

Full description

Saved in:

Bibliographic Details
Date:	1988
Main Authors:	Kraichuk , A. V., Крайчук , А. В.
Format:	Article
Language:	Russian
Published:	Institute of Mathematics, NAS of Ukraine 1988
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/9178
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 groups with invariant infinite non-Abelian subgroups
by: Kuzenny , N. F., et al.
Published: (1988)

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

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

Fully invariant subgroups of an infinitely iterated wreath product
by: Leshchenko, Y.L.
Published: (2011)

Abnormal subgroups and Carter subgroups in some infinite groups
by: Kurdachenko, L. A., et al.
Published: (2018)

Abnormal subgroups and Carter subgroups in some infinite groups
by: Kurdachenko, L.A., et al.
Published: (2005)

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

Varieties of Groups with Invariant Centralizers of Subgroups
by: Mel'nik, T. I., et al.
Published: (2002)

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

On ascending and subnormal subgroups of infinite factorized groups
by: De, Glovanni F., et al.
Published: (1997)

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

Groups with the minimality condition for infinitely generated subgroups
by: Shaptala, V. P., et al.
Published: (1994)

On a new class of infinite groups
by: Ivko, М. N., et al.
Published: (1995)

On a new class of infinite groups
by: Ivko, M.N., et al.
Published: (1995)

On the Invariants of Root Subgroups of Finite Classical Groups
by: Nan, Jizhu, et al.
Published: (2013)

On the invariants of root subgroups of finite classical groups
by: Jizhu Nan, et al.
Published: (2013)

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)

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

Local stepwise groups with complementable infinite nonprimary subgroups
by: Mishchenko , В. I., et al.
Published: (1992)

Subgroups of the Group of Generalized Lorentz Transformations and Their Geometric Invariants
by: Bogoslovsky, G.
Published: (2005)

Linear groups with minimality condition for some infinite-dimensional subgroups
by: Dixon, M. R., et al.
Published: (2005)

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

On infinite groups whose noncyclic norm has a finite index
by: Liman, F. N., et al.
Published: (1997)

On groups whose subgroups of infinite special rank are transitively normal
by: Semko, Nicolai N., et al.
Published: (2017)

On groups whose subgroups of infinite special rank are transitively normal
by: Semko, N.N., et al.
Published: (2017)

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

On groups with a small number of classes of conjugate noncomplemented subgroups
by: Bilotskii, N. N., et al.
Published: (2010)

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

On the nonperiodic groups, whose subgroups of infinite special rank are transitively normal
by: L. A. Kurdachenko, et al.
Published: (2020)

On the nonperiodic groups, whose subgroups of infinite special rank are transitively normal
by: Kurdachenko, L.A., et al.
Published: (2020)

On the groups, whose all subgroups with infinite special rank are transitively normal
by: M. M. Semko, et al.
Published: (2017)

Construction of nonnilpotent biprimary dispersible groups with metacyclic subgroups of nonprimary index
by: Zuzuk, L. I., et al.
Published: (1997)

Finite nondispersible groups all subgroups of which with nonprimary index are metacyclic
by: Zuzuk, L. I., et al.
Published: (1995)

On the non–periodic groups, whose subgroups of infinite special rank are transitively normal
by: Kurdachenko, L. A., et al.
Published: (2020)

On the non–periodic groups, whose subgroups of infinite special rank are transitively normal
by: Kurdachenko, L.A., et al.
Published: (2020)

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)

Structure of certain classes of groups with locally cyclic Abelian subgroups
by: Kuzennyi, N. F., et al.
Published: (1999)

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)