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Finite Partitions and Their Generators

โœ Scribed by George Weaver

Publisher
John Wiley and Sons
Year
1974
Tongue
English
Weight
435 KB
Volume
20
Category
Article
ISSN
0044-3050

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โœฆ Synopsis

T h e o r e m 4 (Uniform I n t e r p o l a t i o n Lemma). Por every A in LKn all K' E hrn and all m , if m 2 r ( A ) , then (i) A k P(A, K', m ) ; and (ii) for all B i f K,,(A) n K, ( B ) = K', r ( B ) 5 m and A t= B , then P ( A , K', m ) t = B .

๐Ÿ“œ SIMILAR VOLUMES

Partitions of finite vector spaces into
Partitions of finite vector spaces into subspaces
โœ S. I. El-Zanati; G. F. Seelinger; P. A. Sissokho; L. E. Spence; C. Vanden Eynden ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 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