City Research Online

Abstract

Given a p-block B of a finite group with defect group P and fusion system on P, we show that the rank of the group is invariant under stable equivalences of Morita type. The main ingredients are the construction, due to Broué and Puig, a theorem of Weiss on linear source modules, arguments of Hertweck and Kimmerle applying Weiss’ theorem to blocks, and connections with integrable derivations in the Hochschild cohomology of block algebras.

Publication Type:	Conference or Workshop Item (Paper)
Additional Information:	This is the accepted version of a conference paper published in Geometric and Topological Aspects of the Representation Theory of Finite Groups. PSSW 2016. Springer Proceedings in Mathematics & Statistics, 242. The final authenticated version is available online at: https://doi.org/10.1007/978-3-319-94033-5_9
Subjects:	Q Science > QA Mathematics
Departments:	School of Science & Technology > Mathematics

Export

Downloads