The commutator subgroup of a nonabelian simple group $G$ is $G$ itself
119935
Commutator subgroup of a simple group - Fraleigh p. 152 15.19(h)
12455
$|G|>2$ implies $G$ has non trivial automorphism
145809
Automorphism group of a lie algebra as a lie subgroup of $GL(\frak g)$
46904
Let $G$ be a non-trivial group with no non-trivial proper subgroup. Prove that $G$ cannot be infinite group.
67694
Nonabelian group with all irreducible representations one-dimensional
158074
Cyclic group $G$ with generator $ab$.
30794
Commutator Group of $GL_2(R)$ is $SL_2(R)$
71035
Non abelian subgroup of a abelian group.
59561
Suppose that G is a group and N < G a normal subgroup. Prove G/N is simple
157145
Subgroup of $S_8$ isomorphic to $G$
7640
Exactly one nontrivial proper subgroup
61546
Prove that for each prime $p$ there exists a nonabelian group of order $p^3$
105471
How to prove that if each element of group is inverse to itself then group commutative?
73382
A concrete example of involution in group theory
29802
Part of simple proof of nontrivial center in p-group
105322
Computing the quotient of SL(2,Z) by its commutator subgroup
151699
Group of inner automorphisms of a group $G$