Title of article
FURTHER RIGID TRIPLES OF CLASSES IN G2
Author/Authors
Conder ، Matthew - University of Cambridge , Litterick ، Alastair - Ruhr-Universitat Bochum
Pages
5
From page
5
To page
9
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.
Keywords
triangle groups , finite groups of Lie type , representation varieties
Journal title
International Journal of Group Theory
Serial Year
2019
Journal title
International Journal of Group Theory
Record number
2472159
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