New posts in combinatorial-group-theory

Is a HNN extension of a virtually torsion-free group virtually torsion-free?

Center of a quotient of a free group

Show that any subgroup of a finitely generated abelian group is finitely generated?

Topics in Combinatorial Group Theory (for a short talk).

Probability and Combinatorial Group Theory.

Can we apply relations in a group presentation one by one?

What is the abelianization of $\langle x,y,z\mid x^2=y^2z^2\rangle?$

Are all almost virtually free groups word hyperbolic?

proof of diamond lemma

Character Table From Presentation

If we are handed the presentation $\langle i,j,k \mid i^2=j^2=k^2=ijk \rangle$ and nothing more, can we deduce that this is the quaternion group?

The word problem for finite groups

Let $G = \langle x, y \mid x^{7} = y^{3} = e,\; yxy^{−1} = x\rangle$. What is $|G|\,$?

Identifying $\langle a,b\mid a^2b^2\rangle$.

Homomorphisms of $\mathbb{F}_2$ that preserve $aba^{-1}b^{-1}$

Presentations of subgroups of groups given by presentations

When is a group isomorphic to the infinite cyclic group?

Can the map sending a presentation to its group be considered as a functor?

Prove that $PSL(2,\mathbb{Z})$ is free product of $C_2$ and $C_3$

How do you prove that a group specified by a presentation is infinite?