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On divisible designs and twisted field planes

โœ Scribed by Cinzia Cerroni; Antonino Giorgio Spera

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
162 KB
Volume
7
Category
Article
ISSN
1063-8539

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โœฆ Synopsis

Starting from desarguesian and twisted ยฎeld planes we construct and study some classes of divisible designs admitting an automorphism group which is 2-transitive on the set of point classes.

๐Ÿ“œ SIMILAR VOLUMES

On divisible designs and local algebras
On divisible designs and local algebras
โœ Antonino Giorgio Spera ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 558 KB

We study the action of the group PGL(m,A) on the projective space PG(ml , A ) over a finite commutative local algebra A in order to construct a class of divisible designs, denoted by D,(d,A), which is the classical one of 2-designs (of points and of flats of fixed projective dimension) in the case w

Further results on large sets of disjoin
Further results on large sets of disjoint group-divisible designs with block size three and type 2n41
โœ H. Cao; J. Lei; L. Zhu ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 137 KB ๐Ÿ‘ 2 views

## Abstract Large sets of disjoint groupโ€divisible designs with block size three and type 2^n^4^1^ were first studied by Schellenberg and Stinson because of their connection with perfect threshold schemes. It is known that such large sets can exist only for __n__ โ‰ก0 (mod 3) and do exist for all odd