A reduction theorem for the Galois Alperin weight conjecture

2023/12/05 by Feng, Zhicheng, Fu, Qulei, Zhou, Yuanyang · 1 citation
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2312.02594

Abstract

The Alperin weight conjecture has been reduced to simple groups by Navarro and Tiep. In this paper, we investigate the Galois 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 in some cases.

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• A reduction theorem for the blockwise Navarro Alperin weight conjecture via H-triples

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