Об одном классе бесконечномерных линейных групп конечной линейной ширины
The definition of the linear width of a linear group is introduced. This definition is an analogy of the BFC-number of a group. The infinite locally finite infinite dimensional linear groups of finite linear width are investigated. It is proved that these groups contain an Abelian subgroup of fin...
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| Datum: | 2008 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Russian |
| Veröffentlicht: |
Видавничий дім "Академперіодика" НАН України
2008
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| Schlagworte: | |
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/4096 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Об одном классе бесконечномерных линейных групп конечной линейной ширины / О.Ю. Дашкова // Доп. НАН України. — 2008. — № 3. — С. 14-17. — Бібліогр.: 15 назв. — рос. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | The definition of the linear width of a linear group is introduced. This definition is an analogy
of the BFC-number of a group. The infinite locally finite infinite dimensional linear groups of
finite linear width are investigated. It is proved that these groups contain an Abelian subgroup
of finite index that has finite central (fundamental) dimension. |
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