模的不动点集与置换模  

FIXED POINT SETS OF MODULES AND PERMUTATION MODULES

作　　者：樊恽[1] 

机构地区：[1]湖北大学数学系

出　　处：《湖北大学学报（自然科学版）》1990年第4期281-287,293,共8页Journal of Hubei University：Natural Science

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。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

关 键 词：模 不动点集 置换模 p-置换模 

分 类 号：O153.3[理学—数学]