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arXiv · 1902.05091

Block-Exoticity of a Family of Exotic Fusion Systems

Patrick Serwene
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Abstract

We prove that each exotic fusion system $\mathcal F$ on a Sylow $p$-subgroup of $G_2(p)$ for an odd prime $p$ with $\mathcal O_p(\mathcal F)=1$ is block-exotic. This gives evidence for the conjecture that each exotic fusion system is block-exotic. We prove two reduction theorems for block-realisable fusion systems.

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Patrick Serwene. 2019-02-13. Block-Exoticity of a Family of Exotic Fusion Systems. https://arxiv.org/abs/1902.05091

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