A rigid triple of conjugacy classes in G2

Martin W. Liebeck; Alastair J. Litterick; Claude Marion

doi:10.1515/jgt.2010.031

Published by De Gruyter May 30, 2010

A rigid triple of conjugacy classes in G₂

Martin W. Liebeck , Alastair J. Litterick and Claude Marion

From the journal Journal of Group Theory

https://doi.org/10.1515/jgt.2010.031

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Abstract

We produce a rigid triple of classes in the algebraic group G₂ in characteristic 5, and use it to show that the finite groups G₂(5ⁿ) are not (2, 5, 5)-generated.

Received: 2009-05-06

Revised: 2010-01-13

Published Online: 2010-05-30

Published in Print: 2011-January

A rigid triple of conjugacy classes in G₂

Abstract

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