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...
Saved in:
| Date: | 2013 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2013
|
| Series: | Український математичний журнал |
| Subjects: | |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/165719 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |