【摘要】：本文研究了p-可除kG-模,這是一類由群階的素數(shù)因子來控制的模類.利用Heller算子,證明了n次Heller算子置換非投射不可分解p-可除kG-模的同類;利用模的誘導(dǎo)和限制方法,證明了若H是G的強p-嵌入子群,則Green對應(yīng)建立了不可分解p-可除kG-模的同構(gòu)類與不可分解p-可除kH-模的同構(gòu)類之間的一一對應(yīng).推廣了不可分解相對投射kG-模上的Green對應(yīng).
[Abstract]:In this paper, we study the p-divisible kG- module, which is a class of modules controlled by prime factor of group order. By using Heller operator, it is proved that the Heller operator of degree n permutation of nonprojective non-decomposable p-divisible kG- modules is of the same kind, and that if H is a strong p-embedded subgroup of G, by means of the inducement and restriction methods of modules, it is proved that H is a strong p-embedded subgroup of G. Then the Green correspondence establishes a one-to-one correspondence between the isomorphic classes of non-decomposable p-divisible kG- modules and the isomorphic classes of indecomposable p-divisible kH- modules. We generalize the Green correspondence on indecomposable relative projective kG- modules.
【作者單位】： 中國人民大學(xué)信息學(xué)院;
【基金】：Supported by National Natural Science Foundation of China(10826057)
【分類號】：O153.3

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