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arXiv · 2202.08411

On the local rank of fusion systems

Jun Liao·Heguo Liu·Baoshan Wang·Jiping Zhang
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Abstract

In this paper we define the notion of local rank for fusion systems so as to reformulate the Alperin's weight conjecture in the framework of block fusion systems following the work by Kn\"orr and Robinson.

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Jun Liao, Heguo Liu, Baoshan Wang, Jiping Zhang. 2022-02-17. On the local rank of fusion systems. https://arxiv.org/abs/2202.08411

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