If a finite group has only 1D irreducible representations, is it abelian?
90159
If every irreducible representation of a finite group has dimension $1$, why must the group be abelian?
90845
Is this posible in GR $g_{ab}g^{ab}=1$?
139100
A question on the group algebra $k[G]$ of a finite abelian group
130937
Embeddings of finite groups into $\mathrm{GL}_n(\mathbb{Z})$
32896
Vector spaces for the irreducible representations of the Lorentz Group
96878
A finite group with the property that all of its proper subgroups are abelian
149750
Help understanding Fundamental Theorem of Finite Abelian Groups
3756
If $G$ is abelian, then the set of all $g \in G$ such that $g = g^{-1}$ is a subgroup of $G$
4838
For $N\unlhd G$ , with $C_G(N)\subset N$ we have $G/N$ is abelian
23394
If $G/Z(G)$ is cyclic, then $G$ is abelian
97565
Quotient group $G/H$ is abelian iff $[G,G] \subseteq H$
2043
$X^n-Y^m$ is irreducible in $\Bbb{C}[X,Y]$ iff $\gcd(n,m)=1$
5741
Direct product of abelian groups
126173
From irreducible representations of the Lorentz algebra to irreducible representations of the Lorentz group
65558
Irreducible in $\mathbb{Z}[\sqrt{-5}]$
24966
Converse of Lagrange's theorem for abelian groups
81354
The product of all the elements of a finite abelian group