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arXiv · 1804.06446

Further Rigid Triples of Classes in $G_{2}$

Matthew Conder·Alastair Litterick
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Abstract

We establish the existence of two rigid triples of conjugacy classes in the algebraic group $G_{2}$ in characteristic $5$, complementing results of the second author with Liebeck and Marion. As a corollary, the finite groups $G_{2}(5^n)$ are not $(2,4,5)$-generated, confirming a conjecture of Marion in this case.

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Matthew Conder, Alastair Litterick. 2018-04-17. Further Rigid Triples of Classes in $G_{2}$. https://arxiv.org/abs/1804.06446

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