If $(G,*)$ is a group and $a^{-1}=a, \forall a \in G$ then $G$ is abelian .
55976
Are groups satisfying $g=g^{-1}$ for all $g \in G$ abelian?
86823
proof verification: If $f:G \rightarrow H$ is group homomorphism, and $H$ is abelian, then $G$ is abelian
41977
If $G$ is a group, show that $x^2ax=a^{-1}$ has a solution if and only if $a$ is a cube in $G$
138406
If N and every subgroup of N is normal in G then G/N is abelian .
25439
f(a) = inverse of a is an isomorphism iff a group G is Abelian
158490
Prove that $G^{op} \cong G$ when $G^{op}$ is the opposite group of G
46342
Prove that $G$ is abelian iff $\varphi(g) = g^2$ is a homomorphism
74964
Showing Galois Group is Abelian
158074
Cyclic group $G$ with generator $ab$.
23533
All subgroups normal $\implies$ abelian group
13631
Showing group with $p^2$ elements is Abelian
57809
For which $n$, $G$ is abelian?
65900
Show that a finite group with certain automorphism is abelian
7121
If $G$ is a finite group and $|G| < |A| + |B|$, then $G=AB$.
142739
Nonempty subset H of group G is subgroup iff $ab^{-1} \in H $ for any $a,b \in H$
100605
let $G$ to be finite abelian group of order O(G), let n to be prime number and (O(G),n)=1 prove that $g=x^n$ for any $ x \in G$
20679
Prove that if $g^2=e$ for all $g$ in $G$ then $G$ is Abelian.