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$3$-dimensional Bol loops corresponding to solvable Lie triple systems

Published 30 Jun 2015 in math.GR | (1506.09139v1)

Abstract: We classify the connected $3$-dimensional differentiable Bol loops $L$ having a solvable Lie group as the group topologically generated by the left translations of $L$ using $3$-dimensional solvable Lie triple systems. Together with \cite{figula} our results complete the classification of all $3$-dimensional differentiable Bol loops.

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