Moufang loops of odd order p(alpha)q(1)(2)center dot center dot center dot q(n)(2)r(1)center dot center dot center dot r(m)

[摘要] Let L be a Moufang loop of odd order p(alpha)q(1)(alpha 1)...q(n)(alpha n) where p and q(i) are primes with 3 less than or equal to < p < q(1) < ... < q(n) and a(i) less than or equal to 2. In this paper, we prove that L is a group if p and q(i) are primes with 3 less than or equal to p < q(1) < ... < q(n): (i) alpha less than or equal to 3 or (ii) alpha less than or equal to 4, p greater than or equal to 5. (C) 1997 Academic Press.

[发布日期] 1997-04-15