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math.GR2025
Commutators of n-cycles in the symmetric group
Philipp Bader
We show that for every even permutation on symbols is the commutator of two -cycles. More precisely, let be the symmetric group and the alternating gro…
math.GT2025
Comparing Teichmüller and curve graph translation lengths
Philipp Bader
A pseudo-Anosov mapping class acts on Teichmüller space as well as on the curve graph with so called north-south dynamics. We can measure a stable trans…