Cover Image

On the maximal unipotent subgroups of a special linear group over commutative ring

UDC 512.64 We prove that all maximal unipotent subgroups of a special linear group over commutative ring with identity (such that the factor ring of its modulo primitive radical is a finite direct sum of Bezout domains) are pairwise conjugated and describe one maximal unipotent subgroup of the gen...

Full description

Saved in:

Bibliographic Details
Date:	2019
Main Authors:	Tylyshchak, A. A., Тилищак, О. А.
Format:	Article
Language:	Ukrainian
Published:	Institute of Mathematics, NAS of Ukraine 2019
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/1506
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 the maximal unipotent subgroups of a special linear group over commutative ring
by: O. A. Tylyshchak
Published: (2019)

Commutators in special linear groups over certain division rings
by: M. H. Bien, et al.
Published: (2023)

Commutators in special linear groups over certain division rings
by: Bien, M. H., et al.
Published: (2023)

Indecomposable and irreducible t-monomial matrices over commutative rings
by: V. Bondarenko, et al.
Published: (2016)

On the equivalence of matrices over commutative rings modulo ideals
by: V. M. Bondarenko, et al.
Published: (2014)

On the equivalence of matrices over commutative rings modulo ideals
by: Bondarenko, V.M., et al.
Published: (2014)

On modules over group rings of soluble groups with commutative ring of scalars
by: Dashkova, O. Yu.
Published: (2018)

On modules over group rings of soluble groups with commutative ring of scalars
by: Dashkova, O.Yu.
Published: (2010)

On the equivalence of matrices over commutative rings modulo ideals
by: Bondarenko, Vitaliy M., et al.
Published: (2018)

Indecomposable and irreducible t-monomial matrices over commutative rings
by: Bondarenko, V.M., et al.
Published: (2016)

Reducibility and irreducibility of monomial matrices over commutative rings
by: V. M. Bondarenko, et al.
Published: (2013)

Indecomposable and irreducible \(t\)-monomial matrices over commutative rings
by: Bondarenko, Vitaliy Mykhaylovych, et al.
Published: (2016)

Reducibility and irreducibility of monomial matrices over commutative rings
by: Bondarenko, V.M., et al.
Published: (2013)

On hereditary reducibility of 2-monomial matrices over commutative rings
by: Bondarenko, V.M., et al.
Published: (2019)

On hereditary reducibility of 2-monomial matrices over commutative rings
by: Bondarenko, Vitaliy M., et al.
Published: (2019)

Some properties of the commutators of special linear quantum groups
by: Atteya, Mehsin Jabel
Published: (2024)

Groups with Maximality Condition for Nonhypercentral Subgroups
by: Artemovich, O. D., et al.
Published: (2002)

On the crossing of maximal subgroups of finite groups
by: R. V. Borodich
Published: (2019)

On the crossing of maximal subgroups of finite groups
by: Borodich, R. V., et al.
Published: (2026)

Maximal subgroup growth of a few polycyclic groups
by: Kelley, A., et al.
Published: (2022)

Maximal subgroup growth of a few polycyclic groups
by: Kelley, A., et al.
Published: (2021)

$X$-permutable maximal subgroups of Sylow subgroups of finite groups
by: Guo, W., et al.
Published: (2006)

Groups with weak maximality condition for nonnilpotent subgroups
by: Kurdachenko, L. A., et al.
Published: (2006)

On number of indecomposable modular representations of cyclic p-group over finite local ring
by: O. A. Tylyshchak
Published: (2018)

Commutator subgroups of the power subgroups of generalized Hecke groups
by: Koruoğlu, Özden, et al.
Published: (2019)

Commutator subgroups of the power subgroups of generalized Hecke groups
by: Koruoğlu, Ö., et al.
Published: (2019)

On number of indecomposable modular representations of cyclic p-group over local ring of finite length
by: O. A. Tylyshchak
Published: (2019)

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

Structure of finite groups with S-quasinormal third maximal subgroups
by: Lutsenko, Yu. V., et al.
Published: (2009)

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

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

On groups with formational subnormal strictly 2-maximal subgroups
by: V. S. Monakhov, et al.
Published: (2021)

Maximal Discrete Subgroups in Unitary Groups of Operator Algebras
by: Alekseev, Vadim, et al.
Published: (2022)

On groups with formational subnormal strictly 2-maximal subgroups
by: Monakhov, V. S., et al.
Published: (2021)

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

Formal functional calculus for copolynomials over a commutative ring
by: Gefter, Sergiy L., et al.
Published: (2025)

Matrix Representations of Finite $p$-Groups over Commutative Local Rings of Characteristic $p^s$
by: Gudivok, P. M., et al.
Published: (2002)

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

On modules over integer-valued group rings of locally soluble groups with rank restrictions imposed on subgroups
by: Dashkova, O. Yu., et al.
Published: (2011)

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