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On saturated fusion systems and Brauer indecomposability of Scott modules
[article]
2010
arXiv
pre-print
Let p be a prime number, G a finite group, P a p-subgroup of G and k an algebraically closed field of characteristic p. We study the relationship between the category _P(G) and the behavior of p-permutation kG-modules with vertex P under the Brauer construction. We give a sufficient condition for _P(G) to be a saturated fusion system. We prove that for Scott modules with abelian vertex, our condition is also necessary. In order to obtain our results, we prove a criterion for the categories
arXiv:1009.2391v1
fatcat:llx247sxzvbmlkvi35cayztj4i