A Family of fusion systems related to the groups $\mathrm{Sp}_4(p^a)$ and $\mathrm{G}_2(p^a)$

Christopher Parker; Gernot Stroth

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arXiv · 1409.5102

A Family of fusion systems related to the groups $\mathrm{Sp}_4(p^a)$ and $\mathrm{G}_2(p^a)$

Christopher Parker·Gernot Stroth

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Abstract

A family of exotic fusion systems generalizing the group fusion systems on Sylow $p$-subgroups of $\mathrm{G}_2(p^a)$ and $\mathrm{Sp}_4(p^a)$ is constructed.

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Christopher Parker, Gernot Stroth. 2014-09-17. A Family of fusion systems related to the groups $\mathrm{Sp}_4(p^a)$ and $\mathrm{G}_2(p^a)$. https://arxiv.org/abs/1409.5102

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