On the invariants of root subgroups of finite classical groups
We show that invariant fields Fq(X1, . . . , Xn)G are purely transcendental over Fq if G are root subgroups of finite classical groups. The key step is to find good similar groups of our groups. Moreover, the invariant rings of the root subgroups of special linear groups are shown to be polynomial...
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| Datum: | 2013 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут математики НАН України
2013
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| Schriftenreihe: | Український математичний журнал |
| Schlagworte: | |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/165719 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | On the invariants of root subgroups of finite classical groups / Jizhu Nan, Yufang Qin // Український математичний журнал. — 2013. — Т. 65, № 12. — С. 1636–1645. — Бібліогр.: 15 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | We show that invariant fields Fq(X1, . . . , Xn)G are purely transcendental over Fq if G are root subgroups of finite classical
groups. The key step is to find good similar groups of our groups. Moreover, the invariant rings of the root subgroups of
special linear groups are shown to be polynomial rings, and their corresponding Poincare series are presented. |
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