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On the geometry of the exceptional group G 2(q), q even

Lookup NU author(s): Dr Antonio Cossidente, Dr Oli King

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Abstract

We study some geometry of the exceptional group G 2(q), q even, in terms of symplectic geometric configurations in the projective space PG(5,q). Using the spin representation of Sp 6(q), we obtain an alternative description of the Split Cayley hexagon H(q) related to G 2(q). We also give another geometric proof of the maximality of G 2(q), q even, in PSp 6(q). © 2007 Springer Science+Business Media, LLC.

Publication metadata

Author(s): Cossidente A, King O

Publication type: Article

Publication status: Published

Journal: Designs, Codes, and Cryptography

Year: 2008

Volume: 47

Issue: 1-3

Pages: 145-157

Date deposited: 13/07/2012

ISSN (print): 0925-1022

ISSN (electronic): 1573-7586

Publisher: Springer

URL: http://dx.doi.org/10.1007/s10623-007-9107-0

DOI: 10.1007/s10623-007-9107-0

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