Possible orders of nonassociative Moufang loops

Orin Chein; Andrew Rajah

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Displaying similar documents to “Possible orders of nonassociative Moufang loops”

On Bol loops of order $4 k$

V. S. Ramamurthi (1984)

Acta Universitatis Carolinae. Mathematica et Physica

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Minimally nonassociative Moufang loops with a unique nonidentity commutator are ring alternative

Orin Chein, Edgar G. Goodaire (2002)

Commentationes Mathematicae Universitatis Carolinae

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We investigate finite Moufang loops with a unique nonidentity commutator which are not associative, but all of whose proper subloops are associative. Curiously, perhaps, such loops turn out to be ``ring alternative'', in the sense that their loop rings are alternative rings.

Some remarks on simple Bol loops

Gábor P. Nagy (2008)

Commentationes Mathematicae Universitatis Carolinae

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In this paper we make some remarks on simple Bol loops which were motivated by questions at the LOOPS'07 conference. We also list some open problems on simple loops.

Moufang loops of odd order $p_{1} p_{2} \dots p_{n} q^{3}$ .

Rajah, Andrew, Chee, Wing Loon (2011)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

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Displaying similar documents to “Possible orders of nonassociative Moufang loops”

On Bol loops of order 4 k

Minimally nonassociative Moufang loops with a unique nonidentity commutator are ring alternative

Some remarks on simple Bol loops

Moufang loops of odd order p 1 p 2 ⋯ p n q 3 .

On Bol loops of order $4 k$

Moufang loops of odd order $p_{1} p_{2} \dots p_{n} q^{3}$ .