A reduction theorem for the Navarro Alperin weight conjecture
Representation Theory
2026-04-23 v5
Abstract
The Alperin weight conjecture has been reduced to simple groups by Navarro and Tiep. In this paper, we investigate the Navarro Alperin weight conjecture, which includes Galois automorphisms and group automorphisms in comparison with the original version, and give a reduction to simple groups. As an application, we prove the conjecture for the finite groups with abelian Sylow 2-subgroups.
Keywords
Cite
@article{arxiv.2312.02594,
title = {A reduction theorem for the Navarro Alperin weight conjecture},
author = {Zhicheng Feng and Qulei Fu and Yuanyang Zhou},
journal= {arXiv preprint arXiv:2312.02594},
year = {2026}
}
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40pages