Open Access
March 2006 On the geometry on the nondegenerate subspaces of orthogonal space
Kristina Altmann, Ralf Gramlich
Bull. Belg. Math. Soc. Simon Stevin 13(1): 167-179 (March 2006). DOI: 10.36045/bbms/1148059342

Abstract

The present article is part of the program described in Bennett, R. Gramlich, C. Hoffman, S. Shpectorov. Here we study the Phan-theoretic flipflop geometries related to the flip induced by a nondegenerate orthogonal form on a vector space over an arbitrary field of characteristic distinct from two. We obtain amalgam results in the spirit of Phan's theorems for fields that do not admit a quadratic extension and for real closed fields.

Citation

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Kristina Altmann. Ralf Gramlich. "On the geometry on the nondegenerate subspaces of orthogonal space." Bull. Belg. Math. Soc. Simon Stevin 13 (1) 167 - 179, March 2006. https://doi.org/10.36045/bbms/1148059342

Information

Published: March 2006
First available in Project Euclid: 19 May 2006

zbMATH: 1126.51001
MathSciNet: MR2246232
Digital Object Identifier: 10.36045/bbms/1148059342

Rights: Copyright © 2006 The Belgian Mathematical Society

Vol.13 • No. 1 • March 2006
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