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arXiv · 2110.13794

Some coset actions in $G_2(q)$ and distance-transitive graphs

Jianxiang Chen
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Abstract

This paper studies whether there are distance-transitive graphs arising from the coset actions of $G_2(q)$ on the subfield subgroup $G_2(\sqrt{q})$ or $G_2(q)$ on the Ree subgroup $^2G_2(q)$. It is found that there are no such graphs, even if the groups are extended by outer automorphisms of $G_2(q)$.

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Jianxiang Chen. 2021-10-26. Some coset actions in $G_2(q)$ and distance-transitive graphs. https://arxiv.org/abs/2110.13794

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