| 关于与有限单群Sz(22m+1))有限同Sylow正规化子阶的有限群 |
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| 引用本文： | 毕建行.关于与有限单群Sz(22m+1))有限同Sylow正规化子阶的有限群[J].辽宁大学学报(自然科学版),2007,34(4):289-291. |
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| 作者姓名： | 毕建行 |
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| 作者单位： | 辽宁大学,数学学院,辽宁,沈阳,110036 |
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| 基金项目： | Supported by Science Foundation of Liaoning Provincial Department of Education（0SL153） |
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| 摘 要： | 证明了：有限群G同构于Sz（q）（q=2^2m＋1,m〉O）当且仅当对每个质数r，它们有相同的Sylowr．正规化子阶．
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| 关 键 词： | 有限单群 Sylow子群 正规化子 |
| 文章编号： | 1000-5846（2007）04-0289-03 |
| 修稿时间： | 2007-08-10 |
On the Groups with the Same Orders of Sylow Normalizers as the Finite Simple Group Sz(22m+1) |
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| BI Jian-xing.On the Groups with the Same Orders of Sylow Normalizers as the Finite Simple Group Sz(22m+1)[J].Journal of Liaoning University(Natural Sciences Edition),2007,34(4):289-291. |
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| Authors: | BI Jian-xing |
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| Institution: | College of Mathematics, Liaoning University, Shenyan 110036, China |
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| Abstract: | It is proved that a finite group G is isomorphic to Sz(q)(q=22m+1,m＞0) if and only if they have the same order of Sylow r-normalizer for every prime r. |
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| Keywords: | simple group sylow subgroup normalizer |
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