Spanning Point-line Geometries in Buildings of Spherical Type

Author(s)

Rieuwert J. Blok, Bowling Green State University
Andries E. Brouwer

Document Type

Article

Abstract

We consider the point-line geometries that arise as a shadow space in a spherical building with a diagram of type A_n, B_n, C_n, D_n or E_n, and determine in which cases the geometry is spanned by the set of points on an apartment. It turns out that this happens precisely in the cases corresponding to a minimal weight.

Repository Citation

Blok, Rieuwert J. and Brouwer, Andries E., "Spanning Point-line Geometries in Buildings of Spherical Type" (1998). Mathematics and Statistics Faculty Publications. 29.
https://scholarworks.bgsu.edu/math_stat_pub/29

Publication Date

1998

Publication Title

Journal of Geometry

Publisher

Springer

DOI

https://doi.org/10.1007/BF01237597

Volume

62

Start Page No.

26

End Page No.

35