MOUFANG LOOPS OF ODD ORDER p(3)q(3)

作者：Rajah Andrew^*; Chee Wing Loon

来源：International Journal of Algebra and Computation, 2011, 21(8): 1357-1367.

DOI：10.1142/S0218196711006790

• Moufang loop
• order
• nonassociative

It was shown that for odd primes p(1) < ... < p(m) < q < r(1) < ... < r(n), all Moufang loops of order p(1)(2) ... p(m)(2)q(3)r(1)(2) ... r(n)(2) are associative if and only if q not equivalent to 1 (mod p(i)) for each i. In this paper, we extend this result to Moufang loops of odd order p(3)q(3).

• 出版日期2011-12