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Moufang Loops of Odd Orderp4q1…qn

✍ Scribed by Fook Leong; Andrew Rajah

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
130 KB
Volume
184
Category
Article
ISSN
0021-8693

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✦ Synopsis

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

📜 SIMILAR VOLUMES

Moufang Loops of Odd Orderp12p22···pm2
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✍ Fook Leong; Andrew Rajah 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 126 KB

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.

Moufang Loops of Odd Orderpαq21 ···
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✍ Fook Leong; Andrew Rajah 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 209 KB

Let L be a Moufang loop of odd order p ␣ q ␣ 1 иии q ␣ n where p and q are primes 1 n i with 3 F pq -иииq and ␣ F 2. In this paper, we prove that L is a group Ž . if p and q are primes with 3 F pq -иииq : i ␣ F 3, or ii ␣ F 4, p G 5.

Moufang Loops of Odd Order pq3
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✍ Andrew Rajah 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 187 KB

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