Nilpotent Moufang Unit Loops
✍ Scribed by Edgar G. Goodaire; César Polcino Milies
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 193 KB
- Volume
- 190
- Category
- Article
- ISSN
- 0021-8693
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📜 SIMILAR VOLUMES
In this paper, we prove the existence of nonassociative Moufang loops of order pq 3 Ž . for every pair of odd primes, p and q with q ' 1 mod p . ᮊ 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 , 265᎐270 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 ␣ F 2.
348᎐352 that all Moufang loops of odd order p q . . . q are groups for ␣ F 3, where p, q , . . . , q are distinct odd primes with pq . Following that, they raised