The hyperplanes of \(\text{DW}(5,2)\). (English) Zbl 1093.51012

Pralle, Harm

Exp. Math. 14, No. 3, 373-384 (2005).

The author reports a complete list of the hyperplane classes of the symplectic dual polar space DW(5,2). To complete the list a backtrack algorithm implemented in the computer algebra system GAP is used.

Reviewer: Giorgio Faina (Perugia)

MSC:

51E20	Combinatorial structures in finite projective spaces
51A50	Polar geometry, symplectic spaces, orthogonal spaces
05E15	Combinatorial aspects of groups and algebras (MSC2010)

Keywords:

dual polar spaces; backtrack algorithm; subspace lattice; symplectic polar space

Software:

GAP