New posts in Geometric Group Theory

Let $G$ be a group with a free subgroup of rank $2$. Let $H\leq G$ be such that $[G:H]<\infty$. Then $H$ also contains a free subgroup of rank $2$.

Dehn twist in amalgamated product, preserving a subgroup

Word metric on a finitely generated subgroup versus the word metric of its finitely generated parent

If $G$ is the fundamental group of a graph of finite groups, is there a "graph structure" preserved by automorphisms?

Topology of a free group

What is the relationship between Haar Measure and the Birkhoff-Kakutani Theorem?

How to see the various hyperbolic $n$-spaces $\mathbb{H}^n$ aren't quasi-isometric?

Can the commutator of two fundamental groups be a fundamental group?

3-manifold examples of homomorphisms between fundamental groups that are not induced by continuous maps

Group action and orbit space