The uniqueness of the SDPS - set of the symplectic dual polar space DW ( 4 n − 1 , q ) , n ≥ 2 Bart
نویسنده
چکیده
SDPS-sets are very nice sets of points in dual polar spaces which themselves carry the structure of dual polar spaces. They were introduced in [8] because they gave rise to new valuations and hyperplanes of dual polar spaces. In the present paper, we show that the symplectic dual polar space DW (4n− 1, q), n ≥ 2, has up to isomorphisms a unique SDPS-set.
منابع مشابه
The uniqueness of the SDPS-set of the symplectic dual polar space DW(4n-1, q), n>=2
SDPS-sets are very nice sets of points in dual polar spaces which themselves carry the structure of dual polar spaces. They were introduced in [8] because they gave rise to new valuations and hyperplanes of dual polar spaces. In the present paper, we show that the symplectic dual polar space DW (4n− 1, q), n ≥ 2, has up to isomorphisms a unique SDPS-set.
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