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Principal 2‐blocks and Sylow 2‐subgroups
Let G be a finite group with Sylow 2-subgroup P ⩽ G . Navarro–Tiep–Vallejo have conjectured that the principal 2-block of N G ( P ) contains exactly one irreducible Brauer character if and only if all odd-degree ordinary irreducible characters in the principal 2-block of G are fixed by …