Proving that cartesian product is a group
132127
Proving a direct product of groups is a group
121141
Proving Finiteness of Group from Presentation
68977
Interior of cartesian product is cartesian product of interiors
15210
Group of order 6 proof
63359
Show that the product of all group elements is $e$ or $u$ if $G$ has exactly one involution $u$
88051
$\mathbb R = X^2$ as a Cartesian product
99353
Topology on cartesian product and product topology.
84198
Step in Proof of Cardinality of Product of two Groups
58707
Prove Quotient Group Isomorphism
115427
Galois group of $\prod_{i=1}^{p-1} (X^2-i)$
11003
Proving that $G/N$ is an abelian group
29303
Cartesian product of compact sets is compact
38687
Isomorphism of a product $C_n \times C_m$ of cyclic groups with the cyclic group $C_{mn}$
24561
$\mathbb S_n$ as semidirect product
143550
Order of product of two elements in an abelian group
33196
show that A(T) is a group under operation of composition of functions
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