Cyclic generalizations of two hyperbolic icosahedral manifolds (Q411806)

The authors study the families of closed orientable \(3\)-manifolds \(M_{24}(n)\) and \(M_{25}(n)\) constructed by \textit{A. Cavicchioli, F. Spaggiari} and \textit{A. I. Telloni} [Topology Appl. 157, No. 5, 921--931 (2010; Zbl 1208.57004)]. They give presentations of their fundamental groups, and show that they are strongly cyclic branched covers of the lens space \(L_{3,1}\), branched over a link with \(2\) or \(3\) components. They also show that \(M_{24}(n)\) and \(M_{25}(n)\) are hyperbolic for \(3\leq n\leq 6\) and determine their volumes.