Is every group the commutator subgroup of some other group?
43832
Which groups are derived subgroups?
101602
consider the group $G=\mathbb Q/\mathbb Z$. For $n>0$, is there a cyclic subgroup of order n
64372
Do the isomorphism's of groups form an equivalence relation on the class of all groups?
23533
All subgroups normal $\implies$ abelian group
112677
understanding the commutator of dihedral group
122970
A question on $p$-groups, and order of its commutator subgroup.
139025
Do all Groups have a representation?
123610
How to show that the commutator subgroup is a normal subgroup
158873
Is every group the unit group of some ring?
55976
Are groups satisfying $g=g^{-1}$ for all $g \in G$ abelian?
129830
A group with no proper non-trivial subgroups
72991
Is every group the automorphism group of a group?
19683
Is a semigroup $G$ with left identity and right inverses a group?
155219
Prove or Disprove: If every nontrivial subgroup of a group $G$ is cyclic, then $G$ is cyclic.
76317
Let $C$ be the commutator subgroup of $G$. Prove that $G/C$ is abelian
97928
Normal subgroup of a normal subgroup
40846
When can a (finite) group be written as the quotient of some other group by its center?