The Blockwise Alperin Weight Conjecture
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.
Cite
@misc{OAI:The-Blockwise-Alperin-Weight-Conjecture-September-23-2026,
author = {{OpenAI}},
title = {{The Blockwise Alperin Weight Conjecture}},
howpublished = {OpenAI Math Release preprint
\href{https://github.com/openai/math/blob/main/preprints/The-Blockwise-Alperin-Weight-Conjecture-September-23-2026/paper.pdf}{OAI:The-Blockwise-Alperin-Weight-Conjecture-September-23-2026}},
year = {2026}
}