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Bol loops with non-normal nuclei

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Abstract.

The purpose of this paper is to expand the collection of Bol loops that have nuclei that are not normal. In doing so, we will show that for each of the Bol loops given by Daniel and Karl Robinson in [2] there are uncountably many more. Clearly this will require us to give examples of infinite Bol loops with non-normal nuclei, which until now have apparently been absent from the literature.

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Authors and Affiliations

  1. Department of Mathematics, Southeastern Louisiana University, 70402, Hammond, Louisiana, U.S.A.

    C. G. Devillier

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  1. C. G. Devillier
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Correspondence to C. G. Devillier.

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Received: 20 August 2001

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Devillier, C. Bol loops with non-normal nuclei. Arch. Math. 81, 383–384 (2003). https://doi.org/10.1007/s00013-003-4619-y

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  • DOI: https://doi.org/10.1007/s00013-003-4619-y

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