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Multiplication groups of topological loops

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Abstract

In this paper, we discuss the question as to which Lie groups can occur as multiplication groups Mult(L) of connected topological loops L, and we describe the correspondence between the structure of the group Mult(L) and the structure of the loop L.

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Authors and Affiliations

  1. Institute of Mathematics, University of Debrecen, Debrecen, Hungary

    Á. Figula

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  1. Á. Figula
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Correspondence to Á. Figula.

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Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 80, Proceedings of the International Conference “Modern Algebra and Its Applications” (Batumi, 2011), Part 1, 2012.

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Figula, Á. Multiplication groups of topological loops. J Math Sci 193, 428–432 (2013). https://doi.org/10.1007/s10958-013-1472-9

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