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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V.S. Ramamurthi, B.L. Sharma (1985)
Aequationes mathematicae
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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.
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.
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...