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

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. ISSN 1435-9863

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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:
Journal Article
Journal or Publication Title:
Journal of the European Mathematical Society
Uncontrolled Keywords:
/dk/atira/pure/researchoutput/libraryofcongress/qa
Subjects:
ID Code:
33517
Deposited By:
Deposited On:
26 May 2010 09:55
Refereed?:
Yes
Published?:
Published
Last Modified:
12 Aug 2020 01:29