Action type geometrical equivalence of representations of groups
In the paper we prove (Theorem 8.1) that there
 exists a continuum of non isomorphic simple modules over KF₂,
 where F₂ is a free group with 2 generators (compare with [Ca]
 where a continuum of non isomorphic simple 2-generated groups is
 constructed). Using this fac...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2005 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2005
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/157336 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Action type geometrical equivalence of representations of groups / B. Plotkin, A. Tsurkov // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 4. — С. 48–79. — Бібліогр.: 17 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | In the paper we prove (Theorem 8.1) that there
exists a continuum of non isomorphic simple modules over KF₂,
where F₂ is a free group with 2 generators (compare with [Ca]
where a continuum of non isomorphic simple 2-generated groups is
constructed). Using this fact we give an example of a non action
type logically Noetherian representation (Section 9).
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| ISSN: | 1726-3255 |