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The Hilton–Milner theorem for attenuated spaces.
- Source :
-
Discrete Mathematics . Dec2020, Vol. 343 Issue 12, pN.PAG-N.PAG. 1p. - Publication Year :
- 2020
-
Abstract
- Let V be an (n + l) -dimensional vector space over the finite field F q with l ≥ n > 0 and W be a fixed l -dimensional subspace of V. We say that an m -dimensional subspace U of V is of type (m , k) if dim (U ∩ W) = k. Denote the set of all subspaces of type (m , k) in V by M (m , k ; n + l , n). The collection of all the subspaces of types (m , 0) in V , where 0 ≤ m ≤ n , is the attenuated space. In this paper, we prove the Hilton–Milner theorem for M (m , 0 ; n + l , n) , where 3 ≤ m ≤ n. [ABSTRACT FROM AUTHOR]
- Subjects :
- *FINITE fields
*VECTOR spaces
*SPACE
Subjects
Details
- Language :
- English
- ISSN :
- 0012365X
- Volume :
- 343
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- Discrete Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 146299747
- Full Text :
- https://doi.org/10.1016/j.disc.2020.112120