A combinatorial characterisation of embedded polar spaces
Abstract
Some classical polar spaces admit polar spaces of the same rank as embedded polar spaces (often arisen as the intersection of the polar space with a non-tangent hyperplane). In this article we look at sets of generators that behave combinatorially as the set of generators of such an embedded polar space, and we prove that they are the set of generators of an embedded polar space.
Publication Title
Discrete Mathematics
Recommended Citation
De Beule, J., & De Boeck, M. (2018). A combinatorial characterisation of embedded polar spaces. Discrete Mathematics, 341 (10), 2841-2845. https://doi.org/10.1016/j.disc.2018.06.040
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