๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On the rank of truncated incidence matrices of linear spaces

โœ Scribed by Nicola Melone; Udo Ott

Publisher
Springer
Year
1992
Tongue
English
Weight
234 KB
Volume
2
Category
Article
ISSN
0925-1022

No coin nor oath required. For personal study only.

โœฆ Synopsis

It is well known that for every finite linear space the number b of lines is greater or equal to the number v of points of the space. In this paper we investigate the relation between the nonnegative integer b -v and suitable configurations of subspaces of a linear space.

๐Ÿ“œ SIMILAR VOLUMES

On the Rank of Certain Incidence Matrice
On the Rank of Certain Incidence Matrices over GF(2)
โœ Phillip McClurg ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 109 KB

Let V be a vector space of dimension n โ‰ฅ 3 over GF(2). We are concerned with the incidence of k-dimensional subspaces in (k + 2)-dimensional subspaces where 1 โ‰ค k โ‰ค n -2. We compute here an upper bound for the rank of the associated incidence matrices over GF(2).