数学研究通讯

2018, v.34(02) 106-116

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On the Group of ρ-endotrivial κG-modules
On the Group of ρ-endotrivial κG-modules

Huang Wen-lin;

摘要(Abstract):

In this paper, we define a group T_ρ(G) of p-endotrivial κG-modules and a generalized Dade group D_ρ(G) for a finite group G. We prove that T_ρ(G)? T_ρ(H)whenever the subgroup H contains a normalizer of a Sylow p-subgroup of G, in this case, K(G)? K(H). We also prove that the group D_ρ(G) can be embedded into T_ρ(G) as a subgroup.

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基金项目(Foundation): The NSF(10826057)of China

作者(Author): Huang Wen-lin;

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