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Some tetrahedron manifolds with Sol geometry and related groups

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We study a series of 2-generator Sol-manifolds depending on a positive integer n, introduced by Molnár and Szirmai. We construct them as tetrahedron manifolds and show that they are twofold coverings of the 3-sphere branched over specified links. Finally, we give a surgery description of the considered 3-manifolds; indeed, they can be obtained by n−2 and 0 Dehn surgeries along the components of the Whitehead link.

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Correspondence to Alberto Cavicchioli.

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Cavicchioli, A., Molnár, E., Spaggiari, F. et al. Some tetrahedron manifolds with Sol geometry and related groups. J. Geom. 105, 601–614 (2014). https://doi.org/10.1007/s00022-014-0222-6

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