Isomorphism $\phi:G\to G\times G$
135701
An example of a group such that $G \cong G \times G$
152481
If order of group is $p^2$, where $p$ is prime, how can you deduce $G$ is isomorphic to $C_{p^2}$ or $C_p \times C_p$?
77221
Prove that $G$ has a subgroup isomorphic to $G/H$.
46863
Show that $g$ is injective
81197
Why is $SO(3)\times SO(3)$ isomorphic to $SO(4)$?
11957
G is the product of its Sylow subgroups
78263
Prove $GL_n(\Bbb{R})/SL_n(\Bbb{R}) \cong \Bbb{R}^\times$
115663
Proving an isomorphism using the isomorphism theorems
25439
f(a) = inverse of a is an isomorphism iff a group G is Abelian
100439
Proving that a Galois group $Gal(E/Q)$ is isomorphic to $\mathbb{F}_p^\times$
58707
Prove Quotient Group Isomorphism
67199
Isomorphism $H_n(D^n, S^{n - 1};A)$ and $A$
137949
If the quotient group $G/N$ be isomorphic to $G_2$, is $G$ isomorphic to $G_1\times G_2$ where $N$ is isomorphic to $G_1$?
46116
Proof of the First Isomorphism Theorem for Groups
120183
Prove that $S_3\times\mathbb{Z}_2$ is isomorphic to $D_6$
141043
$H$ normal in $G$. Need $G$ contain a subgroup isomorphic to $G/H$
145462
On the canonical isomorphism between $V$ and $V^{**}$