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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| Date: | 2019 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2019
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| 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| 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. |
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