Displaying similar documents to “Self-invariant 1-factorizations of complete graphs and finite Bol loops of exponent 2.”

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.

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...

Bol-loops of order 3 · 2 n

Daniel Wagner, Stefan Wopperer (2007)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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In this article we construct proper Bol-loops of order 3 · 2 n using a generalisation of the semidirect product of groups defined by Birkenmeier and Xiao. Moreover we classify the obtained loops up to isomorphism.

Moufang loops of order 243

Michael C. Slattery, Ashley L. Zenisek (2012)

Commentationes Mathematicae Universitatis Carolinae

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We present a computer-assisted determination of the 72 non-isomorphic, non-associative Moufang loops of order 243. Some of their properties and distinguishing features are discussed.