Proof that equation is solvable in abelian group
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$
81354
The product of all the elements of a finite abelian group
76317
Let $C$ be the commutator subgroup of $G$. Prove that $G/C$ is abelian
152630
showing that a group of order 45 is abelian
3036
Is a polynomial equation of degree $\ge 5$ not solvable by any way?
90811
If $[G' : G'']\leq p^2$, then $G'$ is abelian.
31380
Exponent and abelian groups
32735
If $ \langle G, \star \rangle $ is an abelian group, then for all $a, b \in G$, show that $(a \star b)^{n} = a^{n} \star b^{n}$.
150585
Group with $a=a^{-1}$ for all $a\in G$ is abelian
11003
Proving that $G/N$ is an abelian group
13355
Product of elements of a finite abelian group
24966
Converse of Lagrange's theorem for abelian groups
141125
Group with order $p^2$ must be abelian . How to prove that?
137920
Proving an equation with invertible matrices
71420
Prove that a group is abelian.
45760
if G is generated by {a,b} and ab=ba, then prove G is Abelian
90332
Prove that that $U(n)$ is an abelian group.