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arXiv · 2607.10264

Block-exoticity of reduction simple fusion systems on $S(n,p)$

Jun Liao·Yikun Liu
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Abstract

In this paper, we prove that for $p\geq 13$ and $5\leq n\leq p-3$, every reduction simple fusion system on the finite $p$-group $S(n,p)$ is block-exotic. Furthermore, we establish the block-exoticity of three infinite families of reduction simple exotic fusion systems.

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Jun Liao, Yikun Liu. 2026-07-11. Block-exoticity of reduction simple fusion systems on $S(n,p)$. https://arxiv.org/abs/2607.10264

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