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Meridional generators and plat presentations of torus links. (English) Zbl 0587.57005

For the torus link \({\mathfrak t}(a,b)\) the bridge number and the minimal number of meridional (Wirtinger) generators necessary to generate the knot group coincide and are equal to min(\(| a|,| b|)\). Moreover, any two minimal plat presentations of \({\mathfrak t}(a,b)\) are algebraically equivalent.

MSC:

57M25 Knots and links in the \(3\)-sphere (MSC2010)
57M05 Fundamental group, presentations, free differential calculus
20F05 Generators, relations, and presentations of groups
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