О неприводимых представлениях разрешимых групп конечного ранга над локально конечным полем
We consider the representations of soluble groups of finite rank over a locally finite field. We found some necessary and some sufficient conditions for the existence of the faithful irreducible representations of soluble groups of finite rank over a locally finite field. The construction of an Abel...
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| Date: | 2007 |
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| Main Author: | |
| Format: | Article |
| Language: | Russian |
| Published: |
Видавничий дім "Академперіодика" НАН України
2007
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| Subjects: | |
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/1849 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | О неприводимых представлениях разрешимых групп конечного ранга над локально конечным полем / А.В. Тушев // Доп. НАН України. — 2007. — N 1. — С. 38–39. — Бібліогр.: 3 назв. — рос. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | We consider the representations of soluble groups of finite rank over a locally finite field. We found some necessary and some sufficient conditions for the existence of the faithful irreducible representations of soluble groups of finite rank over a locally finite field. The construction of an Abelian socle and a minimally infinite socle of soluble groups of finite rank plays the most important role in the conditions for the existence of such representations. |
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