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Regular Embeddings of Generalized Hexagons

  Published:2004-10-01
 Printed: Oct 2004
  • Anja Steinbach
  • Hendrik Van Maldeghem
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Abstract

We classify the generalized hexagons which are laxly embedded in projective space such that the embedding is flat and polarized. Besides the standard examples related to the hexagons defined over the algebraic groups of type $\ssG_2$, $^3\ssD_4$ and $^6\ssD_4$ (and occurring in projective dimensions $5,6,7$), we find new examples in unbounded dimension related to the mixed groups of type $\ssG_2$.
Keywords: Moufang generalized hexagons, embeddings, mixed hexagons, classical, hexagons Moufang generalized hexagons, embeddings, mixed hexagons, classical, hexagons
MSC Classifications: 51E12, 51A45 show english descriptions Generalized quadrangles, generalized polygons
Incidence structures imbeddable into projective geometries
51E12 - Generalized quadrangles, generalized polygons
51A45 - Incidence structures imbeddable into projective geometries
 

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