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Journal of Group Theory

Editor-in-Chief: Parker, Christopher W.

Managing Editor: Wilson, John S. / Khukhro, Evgenii I. / Kramer, Linus


IMPACT FACTOR 2018: 0.470
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Source Normalized Impact per Paper (SNIP) 2018: 1.047

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Online
ISSN
1435-4446
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Volume 15, Issue 6

Issues

On a 14-dimensional lattice invariant under the simple group G2(3)

Robert A. Wilson
Published Online: 2012-11-01 | DOI: https://doi.org/10.1515/jgt-2012-0020

Abstract.

We study the 14-dimensional real representation of the finite simple group G2(3) and relate it to (a) the compact real form of the Lie group G2, (b) the smallest Ree group and (c) representations in characteristic 3. In particular, we give a set of generators which leads to a new and easy proof that the group is indeed G2(3).

About the article

Received: 2012-01-07

Revised: 2012-06-22

Published Online: 2012-11-01

Published in Print: 2012-11-01


Citation Information: Journal of Group Theory, Volume 15, Issue 6, Pages 709–716, ISSN (Online) 1435-4446, ISSN (Print) 1433-5883, DOI: https://doi.org/10.1515/jgt-2012-0020.

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© 2012 by Walter de Gruyter Berlin Boston.Get Permission

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