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arXiv · 1208.4387

Affine polar spaces derived from polar spaces and Grassmann structures defined on them

K. Prażmowski·M. Żynel
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Abstract

We prove that an affine polar space in the meaning of Cohen and Shult can be recovered from one of the three adjacency relations on a Grassmann structure over it. The result directly generalizes the results of our previous work where we use an affine space over a vector space equipped with a nondegenerate reflexive form as a starting point to the Cohen-Shult affine polar spaces.

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K. Prażmowski, M. Żynel. 2012-08-21. Affine polar spaces derived from polar spaces and Grassmann structures defined on them. https://arxiv.org/abs/1208.4387

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