M. Kreuzer

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math.GR2025

Subgroups of Cyclically Amalgamated Free Products

Martin Kreuzer, Anja Moldenhauer, Gerhard Rosenberger

Given a group $G = H_{1} *_{A} H_{2}$ which is the free product of two finitely generated groups $H_{1}$ and $H_{2}$ with amalgamation over a cyclic subgroup $A$ which is malnormal in $G$ …

math.GR2025

Trace Minimization and Roots in $PSL (2, R)$

Martin Kreuzer, Anja Moldenhauer, Gerhard Rosenberger

Suppose that $A, B \in PSL (2, R)$ generate a non-elementary Fuchsian group. Let $m, n \in N_{+}$ , and let $R, S \in PSL (2, R)$ such that $R^{m} = A$ and $S…

Subgroups of Cyclically Amalgamated Free Products

Trace Minimization and Roots in PSL(2,R)

Trace Minimization and Roots in $PSL (2, R)$