Abstract
We prove that the dual polar space DQ(2n,2), n≥3, of rank n associated with a non-singular parabolic quadric in PG(2n,2) admits a faithful non-abelian representation in the extraspecial 2-group 2+1+2n. The near 2n-gon In (section 2.4) is a geometric hyperplane of DQ(2n,2). For n≥3, we first construct a faithful non-abelian representation of In in 2+1+2n and subsequently extend it to a faithful non-abelian representation of DQ(2n,2) in 2+1+2n.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
More From: Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.