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The lattice of finite subspace partitions

✍ 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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πŸ“œ SIMILAR VOLUMES


The minimum size of a finite subspace pa
✍ Esmeralda L. NΔƒstase; Papa A. Sissokho πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 218 KB

A subspace partition of P = PG(n, q) is a collection of subspaces of P whose pairwise intersection is empty. Let Οƒ 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

Partitions of finite vector spaces into
✍ S. I. El-Zanati; G. F. Seelinger; P. A. Sissokho; L. E. Spence; C. Vanden Eynden πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 143 KB

## 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

Extremal sizes of subspace partitions
✍ Olof Heden, Juliane Lehmann, Esmeralda NΔƒstase, Papa Sissokho πŸ“‚ Article πŸ“… 2011 πŸ› Springer 🌐 English βš– 177 KB