| 关于GL(3,2)的两个反例 |
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| 引用本文： | 王慧群,杜妮.关于GL(3,2)的两个反例[J].数学研究,2009,42(1). |
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| 作者姓名： | 王慧群 杜妮 |
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| 作者单位： | 1. 长治学院数学系,山西,长治,046011;厦门大学数学科学学院,福建,厦门,361005
2. 厦门大学数学科学学院,福建,厦门,361005 |
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| 基金项目： | 山西省高校科技开发项目 |
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| 摘 要： | 指出GL(3,2)的两个不共轭的{2,3}-Hall子群都和S_4同构.由此,进一步给出两个不同构的S_4-模提供相同2-Brauer特征标的例子.
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| 关 键 词： | 同构 Hall-子群 Brauer特征标 |
On Two Counterexamples Related to GL(3,2) |
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| Wang Huiqun,Du Ni.On Two Counterexamples Related to GL(3,2)[J].Journal of Mathematical Study,2009,42(1). |
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| Authors: | Wang Huiqun Du Ni |
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| Institution: | 1.Department of Mathematics; Changzhi College; Changzhi 046011; 2.School of Mathematics Sciences; Xiamen University; Xiamen 361005 ); |
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| Abstract: | In this paper,we gave two examples related to GL(3,2).We first gave two {2,3}-Hall subgroups of GL(3,2) which are not conjugated but both isomorphic to S_4.Furthermore,we gave two S_4-modules which are not isomorphic but afford the same Brauer characters. |
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| Keywords: | isomorphism Hall-subgroup Brauer character |
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