关于p-可除kG-模的一些结论（英文）

发布时间：2018-09-08 13:25

【摘要】：本文研究了p-可除kG-模,这是一类由群阶的素数因子来控制的模类.利用Heller算子,证明了n次Heller算子置换非投射不可分解p-可除kG-模的同类;利用模的诱导和限制方法,证明了若H是G的强p-嵌入子群,则Green对应建立了不可分解p-可除kG-模的同构类与不可分解p-可除kH-模的同构类之间的一一对应.推广了不可分解相对投射kG-模上的Green对应.
[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.
【作者单位】： 中国人民大学信息学院;
【基金】：Supported by National Natural Science Foundation of China(10826057)
【分类号】：O153.3

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