4 problems

Let $\T_g$ be the Torelli group of a closed genus-$g$ surface. Torelli finite-presentation conjecture. The group $\T_g$ is finitely presented for $g\geq 4$. This is presented as a…

Boone--Higman conjecture. Every finitely generated group with solvable word problem embeds in a finitely presented simple group.

Let $\Lambda$ be an ordered abelian group, and let $G$ be a finitely generated group acting freely on a $\Lambda$-tree; such a group is called $\Lambda$-free. KMS conjecture. Every…

A generalised Wilson group is an infinitely iterated wreath product of finite non-abelian simple permutation groups of the type considered in the paper. A profinite group is finite…