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On the Classification of Finite Semigroups and RA-loop with the Hyperbolic Property

S. O. Juriaans·A. C. Souza Filho
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Abstract

We classify the finite semigroups S, for which all the Z-orders O of the rational Q-algebra QS, is such that the unit group U(O) is hyperbolic. We also classify the RA-loops L, for which the unit loop U(ZL) does not contain any free abelian subgroup of rank two.

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S. O. Juriaans, A. C. Souza Filho. 2007-04-20. On the Classification of Finite Semigroups and RA-loop with the Hyperbolic Property. https://arxiv.org/abs/math/0610701

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