Geodesic
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.

Voir la notice de l'article dans EMS Press

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.
DOI : 10.4171/jems/358
Classification : 20-XX, 00-XX
Mots-clés : 
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     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 = {https://geodesic-test.mathdoc.fr/articles/10.4171/jems/358/}
}
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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. https://geodesic-test.mathdoc.fr/articles/10.4171/jems/358/

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