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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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