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A class of simple proper Bol loops

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Abstract

The existence of finite simple non-Moufang Bol loops has long been considered to be one of the main open problems in the theory of loops and quasigroups. In this paper, we present a class of simple proper Bol loops. This class contains finite and new infinite simple proper Bol loops.

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Authors and Affiliations

  1. Bolyai Institute, University of Szeged, Aradi vértanúk tere 1, 6720, Szeged, Hungary

    Gábor P. Nagy

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  1. Gábor P. Nagy
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Correspondence to Gábor P. Nagy.

Additional information

This paper was written during the author’s Marie Curie Fellowship MEIF-CT-2006-041105 at the University of Würzburg (Germany).

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Nagy, G.P. A class of simple proper Bol loops. manuscripta math. 127, 81–88 (2008). https://doi.org/10.1007/s00229-008-0188-5

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  • DOI: https://doi.org/10.1007/s00229-008-0188-5

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