The exceptional hyperplanes of D H ( 5 , 4 )

In [B. De Bruyn, H. Pralle, The hyperplanes of D H ( 5 , q 2 ) , preprint 2005], we showed the existence of five isomorphism classes of hyperplanes in each dual polar space of type D H ( 5 , q 2 ) . We also proved there that every hyperplane of D H ( 5 , q 2 ) belongs to one of these five classes if...

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Bibliographic Details
Published in:European journal of combinatorics 2007-07, Vol.28 (5), p.1412-1418
Main Authors: De Bruyn, Bart, Pralle, Harm
Format: Article
Language:English
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Summary:In [B. De Bruyn, H. Pralle, The hyperplanes of D H ( 5 , q 2 ) , preprint 2005], we showed the existence of five isomorphism classes of hyperplanes in each dual polar space of type D H ( 5 , q 2 ) . We also proved there that every hyperplane of D H ( 5 , q 2 ) belongs to one of these five classes if q ≠ 2 . In the present paper, we classify all hyperplanes of D H ( 5 , 4 ) and find four additional isomorphism classes of hyperplanes.
ISSN:0195-6698
1095-9971
DOI:10.1016/j.ejc.2006.05.015