Abstract
We define the notion of the Dade group of a fusion system and show that some of the gluing and detection results for Dade groups of finite p-groups due to Bouc and Thévenaz in [S. Bouc and J. Thévenaz. Gluing torsion endo-permutation modules. (Preprint.)], [S. Bouc and J. Thévenaz. A sectional characterization of the Dade group. J. Group Theory11 (2008), 155–183.] extend to Dade groups of fusion systems.
Received: 2007-10-10
Revised: 2008-01-24
Published Online: 2008-11-06
Published in Print: 2009-January
© de Gruyter 2009