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Covers of Point-Hyperplane Graphs
Authors:Arjeh?M.?Cohen  mailto:a.m.cohen@tue.nl"   title="  a.m.cohen@tue.nl"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author,E.?J.?Postma
Affiliation:(1) Department of Mathematics and Computer Science, Technische Universiteit Eindhoven, Den Dolech 2, Eindhoven, The Netherlands
Abstract:
A cover of the non-incident point-hyperplane graph of projective dimension 3 for fields of characteristic 2 is constructed. For fields $${mathbb F}$$ of even order larger than 2, this leads to an elementary construction of the non-split extension of SL4( $${mathbb F}$$ )by $${mathbb F}$$ 6.
Keywords:group extension  graph cover  special linear group  projective geometry
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