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On the Group of ρ-endotrivial κG-modules

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【作者】 Huang Wen-lin

【Author】 Huang Wen-lin;School of Information,Renmin University of China;

【机构】 School of Information,Renmin University of China

【摘要】 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.

【基金】 The NSF(10826057)of China
  • 【DOI】10.13447/j.1674-5647.2018.02.02
  • 【分类号】O152.1
  • 【下载频次】12
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