On Moufang loops of order the product of three odd primes
نویسندگان
چکیده
منابع مشابه
ON THE SPECTRUM OF DERANGEMENT GRAPHS OF ORDER A PRODUCT OF THREE PRIMES
A permutation with no fixed points is called a derangement.The subset $mathcal{D}$ of a permutation group is derangement if all elements of $mathcal{D}$ are derangement.Let $G$ be a permutation group, a derangementgraph is one with vertex set $G$ and derangement set $mathcal{D}$ as connecting set. In this paper, we determine the spectrum of derangement graphs of order a product of three primes.
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We first show that every Moufang loop L which contains an abelian associative subloop M of index two and odd order must, in fact, be a group. We then use this to settle the question ”For what value of n = 2m, m odd, must a Moufang loop of order n be associative?” Introduction: This paper is motivated by a question asked by Rajah and Jamal in [19]: If L is a Moufang loop of order 2m with an abel...
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چکیده ندارد.
15 صفحه اولMoufang Loops of Odd Order p 21 p 2 2 · · · p 2 n q 3
It has been shown that for distinct odd primes p1, p2, . . . , pn and q, all Moufang loops of order p1p2 · · · pnq are groups if and only if q is not congruent to 1 modulo pi for each i. In this paper, we extend that result to include Moufang loops of order p1p 2 2 · · · pnq. Mathematics Subject Classification: 20N05
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1992
ISSN: 0021-8693
DOI: 10.1016/0021-8693(92)90192-o