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Quasimultiples of projective and affine planes

โœ Scribed by Dieter Jungnickel

Book ID
112500477
Publisher
Springer
Year
1986
Tongue
English
Weight
435 KB
Volume
26
Category
Article
ISSN
0047-2468

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๐Ÿ“œ SIMILAR VOLUMES

On the existence of small quasimultiples
On the existence of small quasimultiples of affine and projective planes of arbitrary order
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
More on the existence of small quasimultiples of affine and projective planes of arbitrary order
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__.