The lattice of finite subspace partitions
β Scribed by Fusun Akman; Papa A. Sissokho
- Book ID
- 113567579
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 211 KB
- Volume
- 312
- Category
- Article
- ISSN
- 0012-365X
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π SIMILAR VOLUMES
A subspace partition of P = PG(n, q) is a collection of subspaces of P whose pairwise intersection is empty. Let Ο q (n, t) denote the minimum size (i.e., minimum number of subspaces) in a subspace partition of P in which the largest subspace has dimension t. In this paper, we determine the value of
## Abstract Let __V__~n~(q) denote a vector space of dimension __n__ over the field with __q__ elements. A set ${\cal P}$ of subspaces of __V__~n~(q) is a __partition__ of __V__~n~(q) if every nonzero element of __V__~n~(q) is contained in exactly one element of ${\cal P}$. Suppose there exists a p