The trace space of any surface group is the Poulsen simplex.
arXiv preprint arXiv:2402.03556 , year=
2 Pith papers cite this work. Polarity classification is still indexing.
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Finitely generated groups exist that are permutation stable but exhibit arbitrarily bad quantitative stability, making sample-and-substitute algorithms very slow at checking relations.
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Characters of surface groups
The trace space of any surface group is the Poulsen simplex.
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Groups with arbitrarily poor permutation stability
Finitely generated groups exist that are permutation stable but exhibit arbitrarily bad quantitative stability, making sample-and-substitute algorithms very slow at checking relations.