Nielsen equivalence in triangle groups
Ederson R. F. Dutra

TL;DR
This paper extends previous work to show that any generating pair of a triangle group can be represented by a special almost orbifold covering, deepening understanding of the structure of triangle groups.
Contribution
It generalizes the result of Dutra to all generating pairs of triangle groups, providing a new geometric representation method.
Findings
Any generating pair of a triangle group is represented by a special almost orbifold covering.
The result broadens the understanding of the structure of triangle groups.
Provides a geometric perspective on generating pairs in triangle groups.
Abstract
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 orbifold covering.
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Taxonomy
TopicsGeometric and Algebraic Topology · semigroups and automata theory · Finite Group Theory Research
