Proof of Product Formula for Groups
5042
Order of a product of subgroups. Prove that $o(HK) = \frac{o(H)o(K)}{o(H \cap K)}$.
121141
Proving Finiteness of Group from Presentation
16476
Order of the product of two commuting elements with coprime orders in a group.
111883
Representations of a product of Lie groups
98155
Free products of cyclic groups
35124
Can every non-simple group $G$ be written as a semidirect product?
91997
Product of two subgroups the whole group?
56245
Let H be a subgroup of a group G. Prove that the following statements are equivalent.
110708
On proving that a finitely generated group has a finite number of subgroups with index $n$.
43759
Prove that the set $\mathrm{Aut}(G)$ of all automorphisms of the group $G$ with the operation of taking the composition is a group
151130
When is the product of $n$ subgroups a subgroup?
147111
Where is the Proof for the Sum-to-Product rule derrived from?
146760
Prove that H is a subgroup of G
47179
Prove that $[N, G']=1$ when $N$ is a nilpotent subgroup of a group $G$?
11957
G is the product of its Sylow subgroups
144988
Commutator Subgroup of Direct Product equals the Direct Product of the Commutator Subgroups
5741
Direct product of abelian groups