Endotrivial modules over groups with quaternion or semi-dihedral Sylow 2-subgroup
Journal of the European Mathematical Society, Tome 15 (2013) no. 1, pp. 157-177
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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.
@article{JEMS_2013_15_1_a4,
author = {Jon F. Carlson and Nadia Mazza and Jacques Th\'evenaz},
title = {Endotrivial modules over groups with quaternion or semi-dihedral {Sylow} 2-subgroup},
journal = {Journal of the European Mathematical Society},
pages = {157--177},
publisher = {mathdoc},
volume = {15},
number = {1},
year = {2013},
doi = {10.4171/jems/358},
url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/358/}
}
TY - JOUR AU - Jon F. Carlson AU - Nadia Mazza AU - Jacques Thévenaz TI - Endotrivial modules over groups with quaternion or semi-dihedral Sylow 2-subgroup JO - Journal of the European Mathematical Society PY - 2013 SP - 157 EP - 177 VL - 15 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4171/jems/358/ DO - 10.4171/jems/358 ID - JEMS_2013_15_1_a4 ER -
%0 Journal Article %A Jon F. Carlson %A Nadia Mazza %A Jacques Thévenaz %T Endotrivial modules over groups with quaternion or semi-dihedral Sylow 2-subgroup %J Journal of the European Mathematical Society %D 2013 %P 157-177 %V 15 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4171/jems/358/ %R 10.4171/jems/358 %F JEMS_2013_15_1_a4
Jon F. Carlson; Nadia Mazza; Jacques Thévenaz. Endotrivial modules over groups with quaternion or semi-dihedral Sylow 2-subgroup. Journal of the European Mathematical Society, Tome 15 (2013) no. 1, pp. 157-177. doi: 10.4171/jems/358
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