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arXiv · 2312.02594

A reduction theorem for the Navarro Alperin weight conjecture

Zhicheng Feng·Qulei Fu·Yuanyang Zhou
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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.

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Zhicheng Feng, Qulei Fu, Yuanyang Zhou. 2023-12-05. A reduction theorem for the Navarro Alperin weight conjecture. https://arxiv.org/abs/2312.02594

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