Geodesic
Covers of point-hyperplane graphs
Journal of Algebraic Combinatorics, Tome 22 (2005) no. 3, pp. 317-329.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: A cover of the non-incident point-hyperplane graph of projective dimension 3 for fields of characteristic 2 is constructed. For fields $\mathbb F {\mathbb F}$ of even order larger than 2, this leads to an elementary construction of the non-split extension of SL $_{4}( \mathbb F {\mathbb F} )$by $\mathbb F {\mathbb F} ^{6}$.
Keywords: keywords group extension, graph cover, special linear group, projective geometry 
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     author = {Cohen, Arjeh M. and Postma, E.J.},
     title = {Covers of point-hyperplane graphs},
     journal = {Journal of Algebraic Combinatorics},
     pages = {317--329},
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     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_2005__22_3_a2/}
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Cohen, Arjeh M.; Postma, E.J. Covers of point-hyperplane graphs. Journal of Algebraic Combinatorics, Tome 22 (2005) no. 3, pp. 317-329. http://geodesic.mathdoc.fr/item/JAC_2005__22_3_a2/