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
出处
《湖北大学学报（自然科学版）》
CAS
1990年第4期281-287,293,共8页
Journal of Hubei University：Natural Science
关键词
模
不动点集
置换模
p-置换模
Fixed point sets. Permutation modules,p -Permutation modules. Green algebras. species, Conjugate modules.
