Moufang Loops of Odd Order p1^3p2^3....pn^3 .

Lois Adewoye Ademola; Rajah Andrew

Lois Adewoye Ademola School of Mathematical Sciences, Universiti Sains Malaysia, 11800 USM, Penang, Malaysia
Rajah Andrew School of Mathematical Sciences, Universiti Sains Malaysia, 11800 USM, Penang, Malaysia

Keywords: Loop, maximal subloop, order, nonassociative.

Abstract

In [10], all Moufang loops of order p³q³ where p and q are odd primes with p<q, were shown to be associative if and only if q≢ 1(modp). In this paper, we generalize this result to Moufang loops of order p³₁, p³₂...p³_n for distinct odd primes p₁,p₂.....p_n with p_i ≢ 1(modp_j ) for every i, j ∈ {1,2,...n} .

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