Skip to main content

Buildings of type Cn. I. Polar spaces

  • Chapter

Part of the Lecture Notes in Mathematics book series (LNM,volume 386)

Abstract

We consider sets in which some subsets are distinguished and called (linear) subspaces. Such a set S will be called a polar space if it satisfies the axioms (P1) to (P4) hereafter, for some integer n ≥ 1 called the rank of the space S. Notice that these axioms are essentially equivalent to the axioms (I) to (VII) of F.D. Veldkamp [101], except that here, the projective spaces involved are not assumed to be thick, and that n is allowed to be = 1 or 2.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   44.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Rights and permissions

Reprints and Permissions

Copyright information

© 1974 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

(1974). Buildings of type Cn. I. Polar spaces. In: Buildings of Spherical Type and Finite BN-Pairs. Lecture Notes in Mathematics, vol 386. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-38349-9_7

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-38349-9_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06757-3

  • Online ISBN: 978-3-540-38349-9

  • eBook Packages: Springer Book Archive