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...

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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
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Summary: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 general linear group (and of a special linear group) over an arbitrary commutative ring with identity.