Representations of products of groups
111883
Representations of a product of Lie groups
147746
Characterisation of the squares of the symmetric group
126930
Finding all group homomorphisms of $S_n\to\mathbb{C}^*$ and $A_n\to\mathbb{C}^*$
39425
Surprising but simple group theory result on conjugacy classes
99346
Prove a result on transitive group actions.
146278
Automorphism group of direct product of groups
73382
A concrete example of involution in group theory
57887
When are the product of cyclic groups also cyclic?
147298
How to find all subgroups of a direct product?
18540
Isomorphism from $\mathbb{C}[G]$ to $\prod_{i=1}^h M_{n_i}(\mathbb{C})$.
59211
Product of Finite Abelian Group
131516
Subgroup generated by n-th powers of elements
24181
Showing that $G$ is a group under an alternative operation.
98765
Showing that $G/(H\cap K)\cong (G/H)\times (G/K)$
143095
If an $H\le G$ has an irreducible representation of dimension $d$, then show $G$ has an irreducible representation of at least dimension $d$.
135701
An example of a group such that $G \cong G \times G$
68955
Characterising subgroups of Prüfer $p$-groups.