Moufang loops of odd order .

Rajah, Andrew; Chee, Wing Loon

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On the universality of central loops.

Jaíyéọlá, Tèmítópé Gbóláhàn (2009)

Acta Universitatis Apulensis. Mathematics - Informatics

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On Moufang A-loops

Jon D. Phillips (2000)

Commentationes Mathematicae Universitatis Carolinae

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In a series of papers from the 1940’s and 1950’s, R.H. Bruck and L.J. Paige developed a provocative line of research detailing the similarities between two important classes of loops: the diassociative A-loops and the Moufang loops ([1]). Though they did not publish any classification theorems, in 1958, Bruck’s colleague, J.M. Osborn, managed to show that diassociative, commutative A-loops are Moufang ([5]). In [2] we relaunched this now over 50 year old program by examining conditions...

On Bol loops of order $4 k$

V. S. Ramamurthi (1984)

Acta Universitatis Carolinae. Mathematica et Physica

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Possible orders of nonassociative Moufang loops

Orin Chein, Andrew Rajah (2000)

Commentationes Mathematicae Universitatis Carolinae

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The paper surveys the known results concerning the question: “For what values of $n$ does there exist a nonassociative Moufang loop of order $n$ ?” Proofs of the newest results for $n$ odd, and a complete resolution of the case $n$ even are also presented.

Displaying similar documents to “Moufang loops of odd order p 1 p 2 ⋯ p n q 3 .”

On the universality of central loops.

On Moufang A-loops

On Bol loops of order 4 k

Possible orders of nonassociative Moufang loops

Displaying similar documents to “Moufang loops of odd order $p_{1} p_{2} \dots p_{n} q^{3}$ .”

On Bol loops of order $4 k$