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We study numerical invariants of 2-blocks with minimal nonabelian defect groups. These groups were classified by Rédei (see Rédei, 1947 [41]). If the defect group is also metacyclic, then the block invariants are known (see Sambale [43]). In the remaining cases there are only two (infinite) families of ‘interesting’ defect groups. In all other cases the blocks are nilpotent. We prove Brauerʼs k(B)-conjecture...
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