Abstract
In this brief survey, we discuss the following question: Which Lie groups can occur as the multiplication groups Mult(L) of connected topological loops L? We describe correspondences between the structure of the group Mult(L) and the structure of the loop L.
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Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 84, Proceedings of the International Conference “Modern Algebra and Its Applications” (Batumi, 2011), Part 3, 2012.
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Figula, Á. Multiplication Groups of Topological Loops. J Math Sci 197, 735–740 (2014). https://doi.org/10.1007/s10958-014-1756-8
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DOI: https://doi.org/10.1007/s10958-014-1756-8