研究生: |
黃文彬 |
---|---|
論文名稱: |
Polynomial Invariants of Five-Dimensional Orthogonal Groups |
指導教授: | 洪有情 |
學位類別: |
碩士 Master |
系所名稱: |
數學系 Department of Mathematics |
論文出版年: | 2003 |
畢業學年度: | 91 |
語文別: | 中文 |
論文頁數: | 18 |
論文種類: | 學術論文 |
相關次數: | 點閱:112 下載:3 |
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Let Q be a nondegenerate quadratic form over the nite eld Fq of odd prime power order
q with charFq 6= 2 and Let On(Fq) be the associated orthogonal group. Let On(Fq) act
linearly on the polynomial ring Fq[x1; : : : ; xn]: In this thesis we nd the invariant subring
Fq[x1; x2; x3; x4; x5]O5(Fq ) with explicit generators. We also prove that this subring is a UFD.
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