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].
A geometric study of Sieradski groups / A.Cavicchioli, F.Hegenbarth, A.C.Kim. - In: ALGEBRA COLLOQUIUM. - ISSN 1005-3867. - 5:2(1998), pp. 203-217.
A geometric study of Sieradski groups
F.HegenbarthSecondo
;
1998
Abstract
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].
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