Year: 2018
Author: Wenlin Huang
Communications in Mathematical Research , Vol. 34 (2018), Iss. 2 : pp. 106–116
Abstract
In this paper, we define a group $T_p(G)$ of $p$-endotrivial $kG$-modules and a generalized Dade group $D_p(G)$ for a finite group $G$. We prove that $T_p(G)\cong T_p(H)$ whenever the subgroup $H$ contains a normalizer of a Sylow $p$-subgroup of $G$, in this case, $K(G)\cong K(H)$. We also prove that the group $D_p(G)$ can be embedded into $T_p(G)$ as a subgroup.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2018.02.02
Communications in Mathematical Research , Vol. 34 (2018), Iss. 2 : pp. 106–116
Published online: 2018-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: $p$-endotrivial module the group of $p$-endotrivial modules endo-permutation module Dade group