348แ352 that all Moufang loops of odd order p q . . . q are groups for โฃ F 3, where p, q , . . . , q are distinct odd primes with pq . Following that, they raised
Moufang Loops of Odd Order pmq1 ... qn
โ Scribed by F. Leong; P.E. Teh; V.K. Lim
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 129 KB
- Volume
- 168
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
It has been proven in F. Leong and A. Rajah, J. Algebra, 176 1995 , 265แ270 that all Moufang loops of odd order pq 2 are groups for distinct primes p and q. In this paper, we generalize this result to Moufang loops of odd order p where p are distinct primes and โฃ F 2.