| 模的不动点集与置换模 |
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| 引用本文： | 樊恽. 模的不动点集与置换模[J]. 湖北大学学报(自然科学版), 1990, 12(4): 281-287,293 |
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| 作者姓名： | 樊恽 |
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| 作者单位： | 湖北大学数学系 |
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| 摘 要： | 令FG为有限群的群代数。本文利用模的不动点集引入了Green代数A(FG)到有理数域Q的一类线性函数δ_c,证明了当C跑遍G的循环子群时δ_c构成A(FG)的由Ic↑~G生成的子代数的对偶空间的一个基底,并且讨论了在δ_c之下p—置换模的性态。
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| 关 键 词： | 模 不动点集 置换模 p－置换模 |
FIXED POINT SETS OF MODULES AND PERMUTATION MODULES |
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| Fan Yun. FIXED POINT SETS OF MODULES AND PERMUTATION MODULES[J]. Journal of Hubei University(Natural Science Edition), 1990, 12(4): 281-287,293 |
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| Authors: | Fan Yun |
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| Affiliation: | Department of mathematics |
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| Abstract: | Let FG be a finite group algebra. This paper introduces a class of linear functions he of the Green algebra A(FG) to the rational field Q in terms of tixed point sets of modules; It proves that V with over the cyclic subgroups of G forms a basis of the dual space of the subalgebra of A(FG) generated by lc It also discusses the behaviors of p- permaion modules under |
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| Keywords: | Fixed point sets. Permutation modules p -Permutation modules. Green algebras. species Conjugate modules. |
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