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
โฆ LIBER โฆ
Moufang Loops of Even Order
โ Scribed by L. Fook; T.P. Eng
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 185 KB
- Volume
- 164
- Category
- Article
- ISSN
- 0021-8693
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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.