# Further rigid triples of classes in $G_{2}$

Document Type: Research Paper

Authors

1 University of Cambridge

2 Bielefeld University, and Ruhr-University Bochum

Abstract

We establish the existence of two rigid triples of conjugacy classes in the algebraic group G2 in characteristic 5, complementing results of the second author with Liebeck and Marion. As a corollary, the finite groups G2(5^n) are not (2,4,5)-generated, confirming a conjecture of Marion in this case.

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