3 problems

Let $B_n$ be the braid group on $n$ strands and let $K_n=[B_n,B_n]$ be its commutator subgroup. A subgroup has index $r$ if its coset action gives a transitive representation…

Let $F$ denote Thompson group $F$, and let a group be 2-generated if it has a generating set with two elements. The finite-index generation conjecture. Every finite-index subgroup…

F-A characterization conjecture. $G$ is F-A if and only if