2 citations · 3 across the 5 of their papers we have counts for
6 papers
Meridional rank of whitehead doubles
Ederson R. F. Dutra
We prove that the meridional rank and the bridge number of the Whitehead double of a prime algebraically tame knot coincide. Algebraically tame knots are a broad generalization of…
Irreducible generating tuples of Fuchsian groups
Ederson Dutra, Richard Weidmann
L. Louder showed that any generating tuple of a surface group is Nielsen equivalent to a stabilized standard generating tuple i.e. where $(a_1,\ldots…
Nielsen equivalence in triangle groups
Ederson R. F. Dutra
We extend the result of \cite{Dutra} to generating pairs of triangle groups, that is, we show that any generating pair of a triangle group is represented by a special almost orbifo…
Nielsen equivalence in closed 2-orbifold groups
Ederson R. F. Dutra
We prove that any generating tuple of the fundamental group of a sufficiently large 2-dimensional orbifold is represented by an almost orbifold covering. As a corollary we obtain a…
On killers of cable knots groups
Ederson Dutra
A killer of a group Gis an element that normally generates G. We show that the group of a cable knot contains infinitely many killers such that no two lie in the same automorphic o…
Meridional Rank of Knots Whose Exterior is a Graph Manifold
Michel Boileau, Ederson Dutra, Yeonhee Jang +1
We prove for a large class of knots that the meridional rank coincides with the bridge number. This class contains all knots whose exterior is a graph manifold. This gives a partia…