Article ID Journal Published Year Pages File Type
4654420 European Journal of Combinatorics 2007 7 Pages PDF
Abstract

In [B. De Bruyn, H. Pralle, The hyperplanes of DH(5,q2)DH(5,q2), preprint 2005], we showed the existence of five isomorphism classes of hyperplanes in each dual polar space of type DH(5,q2)DH(5,q2). We also proved there that every hyperplane of DH(5,q2)DH(5,q2) belongs to one of these five classes if q≠2q≠2. In the present paper, we classify all hyperplanes of DH(5,4)DH(5,4) and find four additional isomorphism classes of hyperplanes.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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