In this paper we study the connections between cyclic presentations of groups and the fundamental group of cyclic branched coverings of 2-bridge knots. Then we show that the topology of these manifolds (and knots) arises, in a natural way, from the algebraic properties of such presentations.
Cyclic branched coverings of 2-bridge knots / Cavicchioli, Alberto; Ruini, Beatrice; Spaggiari, Fulvia. - In: REVISTA MATEMATICA COMPLUTENSE. - ISSN 1139-1138. - STAMPA. - 12 (2):(1999), pp. 383-416.
Cyclic branched coverings of 2-bridge knots
CAVICCHIOLI, Alberto;RUINI, Beatrice;SPAGGIARI, Fulvia
1999
Abstract
In this paper we study the connections between cyclic presentations of groups and the fundamental group of cyclic branched coverings of 2-bridge knots. Then we show that the topology of these manifolds (and knots) arises, in a natural way, from the algebraic properties of such presentations.
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