Proof that equation is solvable in abelian group
34192
Solve $x^{5} \equiv 2$ mod $221\ $ [Taking modular $k$'th roots if unique]
49768
If Gal(K,Q) is abelian then |Gal(K,Q)|=n
135465
Group theory proof of existence of a solution to $x^2\equiv -1\pmod p$ iff $p\equiv 1 \pmod 4$
98542
Prove that $H$ is a subgroup of an abelian group $G$
74964
Showing Galois Group is Abelian
88726
Problem about solvable groups
130298
Why is the group of unit upper triangular matrices solvable?
59128
If $|\lbrace g \in G: \pi (g)=g^{-1} \rbrace|>\frac{3|G|}{4}$, then $G$ is an abelian group.
77763
Proof that the equation $x^2 - 3y^2 = 1$ has infinite solutions for $x$ and $y$ being integers
87882
If $N \lhd G$ is abelian and $G/N$ is abelian then $G$ is abelian
85011
Prove that $\exists a,g,h\in G\colon h=aga^{-1}, g\neq h ,gh=hg$ in a finite non-abelian group $G$.
5741
Direct product of abelian groups
68128
Two term free resolution of an abelian group.
83938
If$(ab)^n=a^nb^n$ & $(|G|, n(n-1))=1$ then $G$ is abelian
152630
showing that a group of order 45 is abelian
90811
If $[G' : G'']\leq p^2$, then $G'$ is abelian.
55976
Are groups satisfying $g=g^{-1}$ for all $g \in G$ abelian?