Endotrivial modules over groups with quaternion or semi-dihedral Sylow 2-subgroup

Carlson, Jon F., Mazza, Nadia, and Thévenaz, Jacques. "Endotrivial modules over groups with quaternion or semi-dihedral Sylow 2-subgroup." Journal of the European Mathematical Society 015.1 (2013): 157-177. <http://eudml.org/doc/277169>.

@article{Carlson2013,
abstract = {Let $G$ be a finite group with a Sylow 2-subgroup $P$ which is either quaternion or semi-dihedral. Let $k$ be an algebraically closed field of characteristic 2. We prove the existence of exotic endotrivial $kG$-modules, whose restrictions to $P$ are isomorphic to the direct sum of the known exotic endotrivial $kP$-modules and some projective modules. This provides a description of the group $T(G)$ of endotrivial $kG$-modules.},
author = {Carlson, Jon F., Mazza, Nadia, Thévenaz, Jacques},
journal = {Journal of the European Mathematical Society},
keywords = {groups of endotrivial modules; exotic endotrivial modules; semi-dihedral groups; generalized quaternion groups; almost split sequences; syzygies; Sylow 2-subgroups; stable isomorphisms; groups of endotrivial modules; exotic endotrivial modules; semi-dihedral groups; generalized quaternion groups; almost split sequences; syzygies; Sylow 2-subgroups; stable isomorphisms},
language = {eng},
number = {1},
pages = {157-177},
publisher = {European Mathematical Society Publishing House},
title = {Endotrivial modules over groups with quaternion or semi-dihedral Sylow 2-subgroup},
url = {http://eudml.org/doc/277169},
volume = {015},
year = {2013},
}

TY - JOUR
AU - Carlson, Jon F.
AU - Mazza, Nadia
AU - Thévenaz, Jacques
TI - Endotrivial modules over groups with quaternion or semi-dihedral Sylow 2-subgroup
JO - Journal of the European Mathematical Society
PY - 2013
PB - European Mathematical Society Publishing House
VL - 015
IS - 1
SP - 157
EP - 177
AB - Let $G$ be a finite group with a Sylow 2-subgroup $P$ which is either quaternion or semi-dihedral. Let $k$ be an algebraically closed field of characteristic 2. We prove the existence of exotic endotrivial $kG$-modules, whose restrictions to $P$ are isomorphic to the direct sum of the known exotic endotrivial $kP$-modules and some projective modules. This provides a description of the group $T(G)$ of endotrivial $kG$-modules.
LA - eng
KW - groups of endotrivial modules; exotic endotrivial modules; semi-dihedral groups; generalized quaternion groups; almost split sequences; syzygies; Sylow 2-subgroups; stable isomorphisms; groups of endotrivial modules; exotic endotrivial modules; semi-dihedral groups; generalized quaternion groups; almost split sequences; syzygies; Sylow 2-subgroups; stable isomorphisms
UR - http://eudml.org/doc/277169
ER -