Prove that the isometries of $S^n$ is $O(n+1)$
50731
Isometries of the sphere $\mathbb{S}^{n}$
26197
$B^n/S^{n-1}$ is homeomorphic to $S^n$
67926
$S_n$ is generated by elements of the form $(1k)$
15000
Show that number of elements in $(Z/nZ)^*$ is $\phi (n)$
12469
$\varphi$ in $\operatorname{Hom}{(S^1, S^1)}$ are of the form $z^n$
27629
How to prove that $S^{2n+1}/S^1$ is homeomorphic to $\mathbb CP^n$ under a given identification
152662
Proving that any finite cyclic group of order $n$ is isomorphic to $$
88598
Property of $\{0^n, 1^n, \ldots\}$
58707
Prove Quotient Group Isomorphism
69497
Show that the set of all $n \times n$ orthogonal matrices, $O(n)$, is a compact subset of $\mbox{GL} (n,\mathbb R)$
30877
How to show that the set of orthogonal n x n matrices forms a group under multiplication
78263
Prove $GL_n(\Bbb{R})/SL_n(\Bbb{R}) \cong \Bbb{R}^\times$
91222
Isomorphism between $\mathfrak o(4,\mathbb R)$ and $\mathfrak o (3,\mathbb R) \oplus\mathfrak o (3,\mathbb R) $
89175
Proof of $(a+b)^{n+1}$
40321
$\operatorname{Aut}(\mathbb Z_n)$ is isomorphic to $U_n$.
52556
Isomorphism of $S^1$.
20467
Show that $(y_n)\in l^q$