3 problems

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Conjecture on visibility of free abelian subgroups in the max spectrum of Thompson's group F
For $k\geq 1$ , let $\mathrm{Spec}^{\mathrm{max}}_k(F)$ denote the collection of isomorphism classes of $k$ -generated subgroups of Thompson's group $F$ that are visible under the ma…
Conjectureopengeometric-group-theory random-subgroups thompsons-grouparXiv posted 2 days ago
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Woodruff's conjecture on reduced tree-pair counts in Thompson's group F
Let $r_n$ be the number of reduced pairs of binary trees with $n$ carets in each tree. Woodruff's conjecture. The number $r_n$ is proportional to … This asymptotic prediction conce…
Conjectureopenenumerative-combinatorics random-subgroups thompsons-grouparXiv posted 2 days ago
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Conjecture on extending the pure-braid subgroup results to braid groups
The paper studies randomly generated finitely generated subgroups and distortion in the pure braid groups $PB_n$ , viewed as finite-index subgroups of the braid groups $B_n$ for…
Conjectureopenbraid-groups geometric-group-theory random-subgroupsarXiv posted 2 days ago

Conjecture on visibility of free abelian subgroups in the max spectrum of Thompson's group F