On the rank of incidence matrices in projective Hjelmslev spaces
โ Scribed by Landjev, Ivan; Vandendriesche, Peter
- Book ID
- 125358834
- Publisher
- Springer
- Year
- 2014
- Tongue
- English
- Weight
- 321 KB
- Volume
- 73
- Category
- Article
- ISSN
- 0925-1022
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๐ SIMILAR VOLUMES
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.
Let V be a vector space of dimension n โฅ 3 over GF(2). We are concerned with the incidence of k-dimensional subspaces in (k + 2)-dimensional subspaces where 1 โค k โค n -2. We compute here an upper bound for the rank of the associated incidence matrices over GF(2).