๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

A single primitive trope relation

โœ Scribed by John Bacon

Book ID
104708529
Publisher
Springer Netherlands
Year
1989
Tongue
English
Weight
676 KB
Volume
18
Category
Article
ISSN
0022-3611

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

On Primitive Commutative Association Sch
On Primitive Commutative Association Schemes with a Nonsymmetric Relation of Valency 4
โœ Mitsugu Hirasaka ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 168 KB

Let X, G be a primitive commutative association scheme. If g g G is nonsym-ลฝ . metric of valency 4, then the graph X, g is uniquely determined up to isomorphism. In particular, the cardinality of X is the cube of an odd prime. แฎŠ 1999 ## X Let r : X = X be given. We set < r\* [ x, y y, x g r , ร„ 4

Primitive Commutative Association Scheme
Primitive Commutative Association Schemes with a Non-symmetric Relation of Valency 3
โœ Mitsugu Hirasaka ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 247 KB

Let (X, [R i ] 0 i d ) be a primitive commutative association scheme. If there is a non-symmetric relation R i with valency 3, then the cardinality of X is equal to either p or p 2 where p is an odd prime. Moreover, if |X | = p then (X, [R i ] 0 i d ) is isomorphic to a cyclotomic scheme.