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http://dx.doi.org/10.4134/BKMS.2003.40.1.101

CYCLIC PRESENTATIONS OF GROUPS AND CYCLIC BRANCHED COVERINGS OF (1, 1)-KNOTS  

Mulazzani, Michele (Department of Mathematics and C.I.R.A.M.,University of Bologna)
Publication Information
Bulletin of the Korean Mathematical Society / v.40, no.1, 2003 , pp. 101-108 More about this Journal
Abstract
In this paper we study the connections between cyclic presentations of groups and cyclic branched coverings of (1, 1)- knots. In particular, we prove that every π-fold strongly-cyclic branched covering of a (1, 1)-knot admits a cyclic presentation for the fundamental group encoded by a Heegaard diagram of genus π.
Keywords
(1,1)-knots; cyclic branched coverings; cyclically presented group; Heegaard diagrams; geometric presentations of groups;
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Times Cited By KSCI : 1  (Citation Analysis)
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