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2017 Parapolar spaces with the “haircut” axiom
Ernest E. Shult
Innov. Incidence Geom. 15: 265-286 (2017). DOI: 10.2140/iig.2017.15.265

Abstract

In this paper, a generalization of a well-known result of Cohen and Cooperstein on strong parapolar spaces of symplectic rank at least three, with only finite-dimensional singular subspaces, is presented. In contrast with the aforementioned theorem, we do not assume that symplecta posses a uniform symplectic rank, we drop the assumption that the considered spaces are strong parapolar spaces, and we replace axiom (CC) by the much more general “haircut axiom."

Citation

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Ernest E. Shult. "Parapolar spaces with the “haircut” axiom." Innov. Incidence Geom. 15 265 - 286, 2017. https://doi.org/10.2140/iig.2017.15.265

Information

Received: 22 June 2016; Accepted: 22 June 2016; Published: 2017
First available in Project Euclid: 28 February 2019

zbMATH: 1384.51004
MathSciNet: MR3713364
Digital Object Identifier: 10.2140/iig.2017.15.265

Subjects:
Primary: 51A50 , 51B25 , 51E24 , 51M35

Keywords: building , exceptional geometry , Grassmann space , haircut axiom , parapolar space

Rights: Copyright © 2017 Mathematical Sciences Publishers

Vol.15 • 2017
MSP
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