Displaying similar documents to “On some classes of finite loops.”

Regular permutation sets and loops

Rita Capodaglio (2003)

Bollettino dell'Unione Matematica Italiana

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Two suitable composition laws are defined in a regular permutation set in order to find new characterizations of some important classes of loops.

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.

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.