On a commutative non-associative algebra associated with a doubly transitive group
โ Scribed by Koichiro Harada
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 643 KB
- Volume
- 91
- Category
- Article
- ISSN
- 0021-8693
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๐ SIMILAR VOLUMES
Let R[:]=R[: 1 , : 2 , ..., : n ] (where : 1 =1) be a real, unitary, finitely generated, commutative, and associative algebra. We consider functions We impose a total order on an algorithmically defined basis B for R[:]. The resulting algebra and ordered basis will be written as (R[:], <). We then
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.
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. แฎ 1999 ## X Let r : X = X be given. We set < r\* [ x, y y, x g r , ร 4
MaruSiE, D. and R. Scapellato, A class of non-Cayley vertex-transitive graphs associated with PSL(2, p), Discrete Mathematics 109 (1992) 161-170. A construction for a class of non-Cayley vertex-transitive graphs associated with PSL(2,p) acting by right multiplication on the right cosets of a dihedr