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On the Generation of Some Dual Polar Spaces of Symplectic Type OverGF(2)

✍ Scribed by B.N. Cooperstein

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 171 KB
Volume: 18
Category: Article
ISSN: 0195-6698
DOI: 10.1006/eujc.1997.0142

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✦ Synopsis

It is demonstrated that the dual polar space of type Sp(2n, 2) can be generated as a geometry by

3 points when n = 4 and 5. In the latter case this affirmatively resolves a conjecture of Brouwer that the dimension of the universal projective embedding of this geometry is λ(5).

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