Two-generator subgroups of the pure braid group
classification
🧮 math.GT
math.GR
keywords
groupbraidpuretheoryactionscommuteeitherelements
read the original abstract
We show that any two elements of the pure braid group either commute or generate a free group, settling a question of Luis Paris. Our proof involves the theory of 3-manifolds and the theory of group actions on trees.
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