p-内平凡kG-模上的Green对应

The Green Correspondence for the p-Endotrivial kG-Modules

将内平凡k G-模扩充为p-内平凡k G-模,并证明了若H是群G的强p-嵌入子群,那么Green对应建立了一个从不可分解p-内平凡k H-模的同构类到不可分解p-内平凡k G-模同构类之间的一一对应.

In this paper,we extend the ordinary endo-trivial kG-module to the p-endotrivial kG-module,and prove that Green correspondence sets up a bijection between the isomorphism classes of the indecomposable p-endotrivial kG-modules and that of the indecomposable p-endotrivial kH-modules,when H is strongly p-embedded in G.