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math.RT2010
Cartan matrices and Brauer's k(B)-conjecture
Benjamin Sambale
We show (among other things) that Brauer's k(B)-conjecture holds for defect groups with are central extensions of metacyclic 2-groups by cyclic groups. The same holds for defect gr…
math.RT2010
2-Blocks with minimal nonabelian defect groups
Benjamin Sambale
We study numerical invariants of 2-blocks with minimal nonabelian defect groups. These groups were classified by Rédei. If the defect group is also metacyclic, then the block invar…