On groups factorizable in commuting almost locally normal subgroups
We prove that an RN-group (in particular, locally solvable) G =G 1 G 2 ...G n with G i and π(G i ) ∩ π(G j ) = ⊘,i ≠j is a periodic hyper-Abelian group if the subgroupsG j are almost locally normal.
Saved in:
| Date: | 1996 |
|---|---|
| Main Authors: | Chernikov, N. S., Черников, Н. С. |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1996
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5342 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: | |
Institution
Ukrains’kyi Matematychnyi ZhurnalSimilar Items
On groups factorized by two subgroups with Chernikov commutants
by: Chernikov, N. S., et al.
Published: (2000)
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)
by: Chernikov , S. N., et al.
Published: (1992)
Factorization of Periodic Locally Solvable Groups by Locally Nilpotent and Nilpotent Subgroups
by: Chernikov, N. S., et al.
Published: (2001)
by: Chernikov, N. S., et al.
Published: (2001)
On Periodic Locally Solvable Groups Decomposable into the Product of Two Locally Nilpotent Subgroups
by: Chernikov, N. S., et al.
Published: (2000)
by: Chernikov, N. S., et al.
Published: (2000)
On groups high in almost normal subgroups
by: Kurdachenko , L. A., et al.
Published: (1988)
by: Kurdachenko , L. A., et al.
Published: (1988)
Groups with Almost Normal Subgroups of Infinite Rank
by: Kuchmenko, S. N., et al.
Published: (2005)
by: Kuchmenko, S. N., et al.
Published: (2005)
On finite solvable groups decomposable into the product of two nilpotent subgroups
by: Chernikov, N. S., et al.
Published: (2000)
by: Chernikov, N. S., et al.
Published: (2000)
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)
by: Chernikov, N. S., et al.
Published: (1988)
Factorization of linear groups and groups possessing a normal system with linear factors
by: Chernikov , N. S., et al.
Published: (1988)
by: Chernikov , N. S., et al.
Published: (1988)
On a Factorizable Group with Large Cyclic Subgroups in Factors
by: Chirik, I. K., et al.
Published: (2015)
by: Chirik, I. K., et al.
Published: (2015)
A generalization of groups with many almost normal subgroups
by: Russo, Francesco G.
Published: (2018)
by: Russo, Francesco G.
Published: (2018)
A generalization of groups with many almost normal subgroups
by: Russo, F.G.
Published: (2010)
by: Russo, F.G.
Published: (2010)
Groups, in which almost all subgroups are near to normal
by: Semko, M.M., et al.
Published: (2004)
by: Semko, M.M., et al.
Published: (2004)
Infinite non-Abelian groups where all the infinite non-Abelian subgroups are invariant
by: Chernikov, S. N., et al.
Published: (1971)
by: Chernikov, S. N., et al.
Published: (1971)
On a Factorizable Group with Large Cyclic Subgroups in Factors
by: I. K. Chirik
Published: (2015)
by: I. K. Chirik
Published: (2015)
Groups whose non-normal subgroups have small commutator subgroup
by: De Falco, M., et al.
Published: (2007)
by: De Falco, M., et al.
Published: (2007)
A sequence of factorizable subgroups
by: Dabbaghian, Vahid
Published: (2018)
by: Dabbaghian, Vahid
Published: (2018)
A sequence of factorizable subgroups
by: Dabbaghian, V.
Published: (2010)
by: Dabbaghian, V.
Published: (2010)
Primary graded groups with complementable non-Frattini subgroups
by: Dovzhenko, S. A., et al.
Published: (1999)
by: Dovzhenko, S. A., et al.
Published: (1999)
The groups whose cyclic subgroups are either ascendant or almost self-normalizing
by: L. A. Kurdachenko, et al.
Published: (2016)
by: L. A. Kurdachenko, et al.
Published: (2016)
The groups whose cyclic subgroups are either ascendant or almost self-normalizing
by: Kurdachenko, L.A., et al.
Published: (2016)
by: Kurdachenko, L.A., et al.
Published: (2016)
On isomorphically factorizable groups
by: Mishchenko, В. I., et al.
Published: (1971)
by: Mishchenko, В. I., et al.
Published: (1971)
Locally graded groups with normal nonmetacyclic subgroups
by: Kovalenko, V. I., et al.
Published: (2007)
by: Kovalenko, V. I., et al.
Published: (2007)
Constructive description of finite nondispersed groups where all subgroups of the nonprimary index are Abelian
by: Chernikov , S. N., et al.
Published: (1992)
by: Chernikov , S. N., et al.
Published: (1992)
Periodic groups, whose cyclic subgroups either are ascendant or almost self-normalized
by: L. A. Kurdachenko, et al.
Published: (2015)
by: L. A. Kurdachenko, et al.
Published: (2015)
Solvable subgroups in groups with self-normalizing subgroup
by: Yakovleva, E. N., et al.
Published: (2008)
by: Yakovleva, E. N., et al.
Published: (2008)
Groups with incidence condition for noncyclic subgroups
by: Polovitskii, Ya. D., et al.
Published: (1996)
by: Polovitskii, Ya. D., et al.
Published: (1996)
Properties of a Finite Group Representable as the Product of Two Nilpotent Groups
by: Chernikov, N. S., et al.
Published: (2001)
by: Chernikov, N. S., et al.
Published: (2001)
On Socle and Semisimple Groups
by: Chernikov, N. S., et al.
Published: (2002)
by: Chernikov, N. S., et al.
Published: (2002)
Quotient groups of locally graded groups and groups of certain Kurosh-Chernikov classes
by: Trebenko, D. Ya., et al.
Published: (1998)
by: Trebenko, D. Ya., et al.
Published: (1998)
On π-Solvable and Locally π-Solvable Groups with Factorization
by: Putilov, S. V., et al.
Published: (2001)
by: Putilov, S. V., et al.
Published: (2001)
On the Chernikova theorem on well-factorizable groups
by: Dovzhenko, S. A., et al.
Published: (1999)
by: Dovzhenko, S. A., et al.
Published: (1999)
Large subgroups of almost nilpotent groups
by: Tomkinson , М. J.
Published: (1992)
by: Tomkinson , М. J.
Published: (1992)
Commutator subgroups of the power subgroups of generalized Hecke groups
by: Koruoğlu, Özden, et al.
Published: (2019)
by: Koruoğlu, Özden, et al.
Published: (2019)
Commutator subgroups of the power subgroups of generalized Hecke groups
by: Koruoğlu, Ö., et al.
Published: (2019)
by: Koruoğlu, Ö., et al.
Published: (2019)
On Abnormally Factorizable Finite Solvable Groups
by: Vasil'ev, A. F., et al.
Published: (2002)
by: Vasil'ev, A. F., et al.
Published: (2002)
Normality in the space of subgroups of the Lie group
by: Panasyuk, S. P., et al.
Published: (1990)
by: Panasyuk, S. P., et al.
Published: (1990)
On intersections of normal subgroups in groups
by: Kulikova, O. V.
Published: (2018)
by: Kulikova, O. V.
Published: (2018)
On intersections of normal subgroups in groups
by: Kulikova, O.V.
Published: (2004)
by: Kulikova, O.V.
Published: (2004)
On Solvable Normal Subgroups of Finite Groups
by: Gribovskaya, E. E., et al.
Published: (2002)
by: Gribovskaya, E. E., et al.
Published: (2002)
Similar Items
-
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) -
Factorization of Periodic Locally Solvable Groups by Locally Nilpotent and Nilpotent Subgroups
by: Chernikov, N. S., et al.
Published: (2001) -
On Periodic Locally Solvable Groups Decomposable into the Product of Two Locally Nilpotent Subgroups
by: Chernikov, N. S., et al.
Published: (2000) -
On groups high in almost normal subgroups
by: Kurdachenko , L. A., et al.
Published: (1988)