New posts in Universal Property

A canonical construction proving $\left|HK\right| = \left|H\right|\left|K\right| / \left|H \cap K\right|$?

What category is the universal property of the Free Group a diagram in?

Homomorphisms from $\prod_{i\in\mathbb Z}\mathbb Z $ to $\oplus_{i\in\mathbb Z}\mathbb Z$ that fixes $\oplus_{i\in\mathbb Z}\mathbb Z$

Direct product of groups has inclusions, but it's still not the free product (coproduct)?

Cokernel within the Category of Groups

The monoid of fractions associated with the submonoid of cancellable elements of a commutative monoid E

Must 2 Tensor Product Functors be Naturally Isomorphic?

Universal skew field of fractions

In what sense is the kernel of a group homomorphism a universal arrow in a comma category?

Analogy between quotient groups and quotient topology