## Abstract If a symmetric (41,16,6)โdesign has an automorphism ฯ of odd prime order __q__ then __q__ = 3 or 5. In the case __q__ = 5 we determine all such designs and find a total of 419 nonisomorphic ones, of which 15 are selfโdual. When __q__ = 3 a __combinatorial explosion__ occurs and the comp
Symmetric quasigroups of odd order
โ Scribed by Shmuel Schreiber
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 832 KB
- Volume
- 77
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
It is shown that in every n-coiouring ((n -1)-colouring) of a projective plane (affme plane) of odd order n at least one line has three points of the same colour. Using clever counting arguments, Kabell proves that "In any n-coloring of PG(2, n), at least one line contains points of at most n-1 co
In this paper, we prove the existence of nonassociative Moufang loops of order pq 3 ลฝ . for every pair of odd primes, p and q with q ' 1 mod p . แฎ 2001 Academic Press 11 that all Moufang loops of odd order pq with pq are groups, but w x later withdrew the result 12 after a flaw was found by Leong a