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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


Moufang Loops of Even Order
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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

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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.

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