3 problems

The small cancellation torsion subgroup conjecture
Small cancellation torsion subgroup conjecture. Every torsion subgroup of $G$ is finite.
opengroup-theory small-cancellation-groups torsion-groups
0 responses
05
Uniform torsion conjecture for metric ultraproducts
Let ${\mathcal G}^*_{\mathrm{met}}$ be a metric ultraproduct. A group has finite exponent, or is uniformly torsion, if there is a common positive integer annihilating every element…
opengroup-theory metric-ultraproducts torsion-groups
0 responses
05
The Invertibles Conjecture for group rings
Let $K$ be a division ring and let $G$ be a group. A one-sided invertible element of $K[G]$ is an element having either a left or a right inverse. The Invertibles Conjecture. If…
opengroup-rings ring-theory torsion-groups
0 responses
08

The small cancellation torsion subgroup conjecture