Some tetrahedron manifolds with Sol geometry and related groups

Abstract

We study a series of 2-generator Sol-manifolds depending on a positive integer n, introduced by Molnar 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.