Weak embeddings of generalized hexagons and groups of type G2

F.G.M.T. Cuypers, A. Steinbach

Research output: Contribution to journalArticleAcademicpeer-review

2 Citations (Scopus)

Abstract

In this note we give two characterizations of the natural embedding of the classical G2(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 G2(L)-module on which the long root subgroups of G2(L) act quadratically with 2-dimensional commutator space.
Original languageEnglish
Pages (from-to)225-236
JournalJournal of Group Theory
Volume1
DOIs
Publication statusPublished - 1998

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