| 群作用三元组与不动点 |
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| 引用本文： | 李秀萍.群作用三元组与不动点[J].中北大学学报,2006,27(2):112-114. |
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| 作者姓名： | 李秀萍 |
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| 作者单位： | 山西财经大学,应用数学系,山西,太原,030006 |
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| 摘 要： | 定义了群作用三元组的概念,这是有限群研究中经常出现的一种情形.讨论了它的一些基本性质.构作了相应的双重半直积,并证明了该半直积满足结合律.作为应用,本文使用不动点自由的自同构的性质证明了群作用三元组的一个有关群作用平凡化的定理.
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| 关 键 词： | 群作用三元组 自同构 不动点 |
| 文章编号： | 1673-3193(2006)02-0112-03 |
| 修稿时间： | 2005年10月29 |
Group Action Triples Versus Fixed Points |
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| LI Xiu-ping.Group Action Triples Versus Fixed Points[J].Journal of North University of China,2006,27(2):112-114. |
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| Authors: | LI Xiu-ping |
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| Abstract: | Group action triple is one of the cases frequently occurring in the field of finite group studies.After defining group action triple and discussing some of its fundamental properties,the author has constructed the double half-value product of group action triple,and proved that the half-value product satisfies associative law.As an application,the author has proposed a theorem on the trivialization of group action in the group action triple by using the free automorphisms property of fixed points. |
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| Keywords: | group action triple automorphism fixed point |
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