Carlson, Jon and Mazza, Nadia and Thévenaz, Jacques (2013) Endotrivial modules over groups with quaternion or semi-dihedral Sylow 2-subgroup. Journal of the European Mathematical Society, 15 (1). pp. 157-177.
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Official URL: http://dx.doi.org/10.4171/JEMS/358
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.
| Item Type: | Article |
|---|---|
| Journal or Publication Title: | Journal of the European Mathematical Society |
| Subjects: | Q Science > QA Mathematics |
| Departments: | Faculty of Science and Technology > Mathematics and Statistics |
| ID Code: | 33517 |
| Deposited By: | Mr Richard Ingham |
| Deposited On: | 26 May 2010 10:55 |
| Refereed?: | Yes |
| Published?: | Published |
| Last Modified: | 11 Apr 2013 14:10 |
| Identification Number: | |
| URI: | http://eprints.lancs.ac.uk/id/eprint/33517 |
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