A weakened Holm-Willems conjecture on Brauer character degree sums is reduced to quasi-simple groups for abelian defect groups, with full proofs supplied for p=2.
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On the Sum of Squares of Irreducible Brauer Character Degrees in Blocks
A weakened Holm-Willems conjecture on Brauer character degree sums is reduced to quasi-simple groups for abelian defect groups, with full proofs supplied for p=2.