On the Sum of Squares of Irreducible Brauer Character Degrees in Blocks

Fuente: arXiv
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Main Authors: Li, Hanxiao, Zhang, Kun
Format: Preprint
Published: 2026
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author Li, Hanxiao
Zhang, Kun
author_facet Li, Hanxiao
Zhang, Kun
contents We study a weakened version of the Holm--Willems Local Conjecture. The problem is reduced to quasi-simple groups under the assumption that the defect group is abelian. Complete proofs are provided in the case \(p = 2\).
format Preprint
id arxiv_https___arxiv_org_abs_2604_10903
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle On the Sum of Squares of Irreducible Brauer Character Degrees in Blocks
Li, Hanxiao
Zhang, Kun
Group Theory
We study a weakened version of the Holm--Willems Local Conjecture. The problem is reduced to quasi-simple groups under the assumption that the defect group is abelian. Complete proofs are provided in the case \(p = 2\).
title On the Sum of Squares of Irreducible Brauer Character Degrees in Blocks
topic Group Theory
url https://arxiv.org/abs/2604.10903