A class of non-Moufang Bol loops isomorphic to all their loop isotopes.
V.S. Ramamurthi, B.L. Sharma (1985)
Aequationes mathematicae
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Displaying similar documents to “Extension of Local Loop Isomorphisms.”
A class of non-Moufang Bol loops isomorphic to all their loop isotopes.
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...
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.
Bol-loops of order
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 using a generalisation of the semidirect product of groups defined by Birkenmeier and Xiao. Moreover we classify the obtained loops up to isomorphism.