Journal article

Publication year: 1998

Pages: 225-236

Journal: Journal of Group Theory

Volume number: 1

Issue number: 3

ISSN: 1433-5883

Publisher: De Gruyter

Abstract: 

In this note we give two characterizations of the natural embedding of the classical G(2)(L)-hexagon in a projective space P(V), where V is a 7-dimensional (or 6-dimensional in case the characteristic of L is 2) vector-space over an extension skew field of L.

We use these geometric results to characterize this vector-space V as a G(2)(L)-module on which the long root subgroups of G(2)(L) act quadratically with 2-dimensional commutator space.

Harvard Citation style: Cuypers, H. and Steinbach, A. (1998) Weak embeddings of generalized hexagons and groups of type G₂, Journal of Group Theory, 1(3), pp. 225-236

APA Citation style: Cuypers, H., & Steinbach, A. (1998). Weak embeddings of generalized hexagons and groups of type G₂. Journal of Group Theory. 1(3), 225-236.