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Small quasimultiple affine and projective planes: Some improved bounds

โœ Scribed by Marco Buratti


Book ID
118280490
Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
475 KB
Volume
6
Category
Article
ISSN
1063-8539

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๐Ÿ“œ SIMILAR VOLUMES


On the existence of small quasimultiples
โœ Dieter Jungnickel ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 798 KB

Denote by a(n) and p(n), respectively, the smallest positive integers ,I and p for which an &(2, n, n') and an S,,(2, n + 1, n2 + n + 1) exist. We thus consider the problem of the existence of (nontrivial) quasimultiples of atline and projective planes of arbitrary order n. The best previously known

More on the existence of small quasimult
โœ Alan C. H. Ling ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 112 KB

## Abstract The functions __a(n)__ and __p(n)__ are defined to be the smallest integer ฮป for which ฮปโ€fold quasimultiples affine and projective planes of order __n__ exist. It was shown by Jungnickel [J. Combin. Designs 3 (1995), 427โ€“432] that __a(n),p(n)__โ€‰<โ€‰__n__^10^ for sufficiently large __n__.