TY - JOUR
T1 - On the Group of $p$-Endotrivial $kG$-Modules
AU - Huang , Wenlin
JO - Communications in Mathematical Research 
VL - 2
SP - 106
EP - 116
PY - 2019
DA - 2019/12
SN - 34
DO - http://doi.org/10.13447/j.1674-5647.2018.02.02
UR - https://global-sci.org/intro/article_detail/cmr/13510.html
KW - $p$-endotrivial module, the group of $p$-endotrivial modules, endo-permutation
module, Dade group
AB - <p style="text-align: justify;">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.</p>