Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f

Remark: 202-01. The Blockwise Alperin Weight Conjecture

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OpenAI@2026-10-07#rem:oai-p-202-01

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Authors: OpenAI. Family 202.

Title: The Blockwise Alperin Weight Conjecture.

Abstract: We prove the numerical blockwise Alperin weight conjecture for every finite group and every prime p. For each p-block B, the number of irreducible Brauer characters in B equals the number of conjugacy classes of B-weights.

This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.

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