Abstract
We prove that the dual polar space , , of rank associated with a non-singular parabolic quadric in admits a faithful non-abelian representation in the extraspecial -group . The near -gon (section 2.4) is a geometric hyperplane of . For , we first construct a faithful non-abelian representation of in and subsequently extend it to a faithful non-abelian representation of in .
Citation
Kamal Lochan Patra. Binod Kumar Sahoo. "A non-abelian representation of the dual polar space $DQ(2n,2)$." Innov. Incidence Geom. 9 177 - 188, 2009. https://doi.org/10.2140/iig.2009.9.177
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