Parametric 2-decompositions in complete linear groups of small order over the field
UDC 512.64 We obtain a parametric decomposition of elements of complete linear groups of the second and third orders over an arbitrary field.  This decomposition is based on the canonical (unambiguous) representation of these elements in the form of the product of elements...
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| Date: | 2024 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2024
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/7748 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Summary: | UDC 512.64
We obtain a parametric decomposition of elements of complete linear groups of the second and third orders over an arbitrary field.  This decomposition is based on the canonical (unambiguous) representation of these elements in the form of the product of elements from the groups of commutators of certain Jordan matrices  and representatives of the left cosets of these groups.  |
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| DOI: | 10.3842/umzh.v76i2.7748 |