Cancellation property in groups
32253
How to prove $b=c$ if $ab=ac$ (cancellation law in groups)?
83710
Order of a homomorphism of groups
80546
Why is closure omitted in some group definitions?
66464
Faithful group actions for singleton group or for empty set
41695
Conjugate class in the dihedral group
88285
Intuition for groups
153250
Finding the derived group
5089
An element of a group has the same order as its inverse
135241
Show that $\mathbb{Z}/n^2\mathbb{Z}$ is not isomorphic to other group
44258
Conditions under which group solvability is invariant under an homomorphism.
130792
Commutator of a group
13834
Show that G is a group, if G is finite, the operation is associative, and cancellation law holds
113413
How do I show that two groups are not isomorphic?
98734
Order of a product of elements in a generic group
75012
Additive group of rationals has no minimal generating set
111049
Groups with given automorphism groups
16476
Order of the product of two commuting elements with coprime orders in a group.