New posts in Free Product

Intuition of characteristic property of the free group

Let $x^2=y^2=1$ and $xy\neq yx$. There are $\binom{2n}{n}$ expressions of length $2n$ in $x$ and $y$ that are equal to $1$.

Dehn twist in amalgamated product, preserving a subgroup

Difference between "generating set" and free product?

Does there exist a group that is both a free product and a direct product of nontrivial groups?

Abelianization of free product is the direct sum of abelianizations