Full paper in PDF:
$%A. Cavicchioli, B. Ruini, and F. Spaggiari, Cyclic branched coverings of 2-bridge knots, Rev. Mat. Complut. 12 (1999), no. 2, 383416.%$

Cyclic Branched Coverings of 2-Bridge Knots
Alberto CAVICCHIOLI, Beatrice RUINI,
and Fulvia SPAGGIARI
Dipartimento di Matematica
Università degli Studi di Modena e Reggio E.
Via Campi 213/B
41100 Modena — Italy

Received: June 8, 1998
Revised: June 7, 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.

1991 Mathematics Subject Classification: 57M12, 57M25. 57M50, 57N10, 57R65.