| 特征为0域上线性群的有限子群的界定 |
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| 引用本文： | 徐行忠.特征为0域上线性群的有限子群的界定[J].湖北大学学报(自然科学版),2010,32(1):1-2,9. |
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| 作者姓名： | 徐行忠 |
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| 作者单位： | 湖北大学,数学与计算机科学学院,湖北,武汉,430062 |
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| 基金项目： | 国家自然科学基金，教育部博士点基金 |
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| 摘 要： | 将Schur的线性群GL(n,Q)上扭子群必为有限群这一性质推广到Q的一般有限扩域F上,证明了GL(n,F)中方次数有限的子群的阶仅与n和F:Q]有关.
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| 关 键 词： | 方次数有限 不可约线性群 线性群的有限子群 |
The assertion of finite linear subgroups over a field of characteristic 0 |
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| XU Xingzhong.The assertion of finite linear subgroups over a field of characteristic 0[J].Journal of Hubei University(Natural Science Edition),2010,32(1):1-2,9. |
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| Authors: | XU Xingzhong |
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| Institution: | XU Xingzhong(School of Mathematics and Computer Science,Hubei University,Wuhan 430062,China) |
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| Abstract: | Schur proved that a torsion of GL（n,Q） is finite.We generalized this conclusion from Q to the general finite extension field F of Q,then proved that the order of a subgroup with finite exponent of the general linear group GL（n,F） was bounded by a function of n and F：Q]. |
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| Keywords: | finite exponent irreducibe group finite subgroup of general linear group |
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