| 研究生: |
陳建融 Chen, Jian-Rong |
|---|---|
| 論文名稱: |
8階辛群的冪單根式上Higman-Lehrer-Isaac猜想的類比 an analogue of Higman-Lehrer-Isaacs conjecture for unipotent radical of Sp8 |
| 指導教授: |
粘珠鳳
Nien, Chu-feng |
| 學位類別: |
碩士 Master |
| 系所名稱: |
理學院 - 數學系應用數學碩博士班 Department of Mathematics |
| 論文出版年: | 2014 |
| 畢業學年度: | 102 |
| 語文別: | 英文 |
| 論文頁數: | 29 |
| 中文關鍵詞: | Higman猜想 、Lehrer猜想 、Isaacs猜想 、q次方階次群 、典範子群 |
| 外文關鍵詞: | Higman conjecture, Lehrer conjecture, Isaacs conjecture, q-power degree groups, pattern subgroups |
| 相關次數: | 點閱:55 下載:2 |
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這篇論文證明了一個8階辛群的冪單根式上Higman-Lehrer-Isaacs猜想的弱類比,
其中q是一個奇質數的次方。更詳細的說,8階辛群的冪單根式的階次為q^e的不可
分解的特徵質的個數是一個係數為非負整數的q-1的多項式。
This thesis prove an weak analogue of Higman-Lehrer-Isaacs conjecture for the
unipotent radical of Sp8(q), where q is a power of an odd prime. More precisely,
the number of irreducible character of degree q^e of Sp8(q) ∩ U8 is a polynomial in
q-1 with non-negative integer coefficients.
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