New closure conditions and some problems in loop theory.
A.M. Shelekhov (1991)
Aequationes mathematicae
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Displaying similar documents to “A class of non-Moufang Bol loops isomorphic to all their loop isotopes.”
New closure conditions and some problems in loop theory.
On Bol loops of order
V. S. Ramamurthi (1984)
Acta Universitatis Carolinae. Mathematica et Physica
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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...
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.