Example of functor from groups to groups
136210
There is more than one functor that fix objects in category of groups?
55769
Why is there no functor $\mathsf{Group}\to\mathsf{AbGroup}$ sending groups to their centers?
73662
Example of non-flat modules
141714
Existence of a functor $\mathsf{Sets} \to \mathsf{Groups}$ that admits a left adjoint
130792
Commutator of a group
73898
Give an example of cochain map which is bijective?
126930
Finding all group homomorphisms of $S_n\to\mathbb{C}^*$ and $A_n\to\mathbb{C}^*$
41261
Functors that aren't continuous/smooth
120495
Does this correctly interpret the "$\cong$" between groups as "$=$" between sets?
149029
3-manifold examples of homomorphisms between fundamental groups that are not induced by continuous maps
123242
Half exact functor which is neither right exact nor left exact
37041
Why is $\text{Aut}(F)$ of the forgetful functor $F$ on $G$-sets isomorphic to $G$?
126644
Simple module and homomorphisms
151210
How can we find and categorize the subgroups of $\mathbb{R}$?
143451
Homomorphism from $(\Bbb Q,+)$ to a finite group
32127
Example where $f\circ g$ is bijective, but neither $f$ nor $g$ is bijective
84397
$x$ conjugate to $y$ in a group $G$ is an equivalence relation on $G$