A geometric study of Sieradski groups

This paper is devoted to the study of orientable closed 3-manifolds uniformized by cyclically presented groups, introduced by Sieradski [26] and by certain generalizations of them. It is shown that these manifolds are cyclic coverings of the 3-sphere branched over torus knots. This answers in the affirmative an open question suggested by the referee of [26] and recovers the main theorem of [27].