What is the motivation for the $\mathrm{Spin}(n)$ group to be the double cover of $SO(n)$?
30022
Why use the double cover instead of the universal cover of $SO(2)$?
29453
An epimorphism from $S_{4}$ to $S_{3}$ having the kernel isomorphic to Klein four-group
155669
$\mathrm{Aut}(D_4)$ is isomorphic to $D_4$
29003
Is the dihedral group $D_n$ nilpotent? solvable?
68014
Prove that $\mathfrak{su}(2)$ is not isomorphic to $\mathfrak{sl}(2,\mathbb R)$
94296
Classifying the factor group $(\mathbb{Z} \times \mathbb{Z})/\langle (2, 2) \rangle$
87922
Computing the Lie bracket on the Lie group $GL(n, \mathbb{R})$
58135
Quotient group $SL(2,\mathbb{R})/SO(2,\mathbb{R})$
154754
Is $O_n$ isomorphic to $SO_n \times \{\pm I\}$?
146690
Basis for adjoint representation of $sl(2,F)$
88199
The commutator subgroup of a quotient in terms of the commutator subgroup and the kernel
22024
How to prove that orthochronous Lorentz transformations $O^+(1,3)$ form a group?
50731
Isometries of the sphere $\mathbb{S}^{n}$
146028
$GL(n, \mathbb{C})$ is isomorphic to a subgroup of $GL(2n, \mathbb{R})$
148950
Why is the generalized quaternion group $Q_n$ not a semi-direct product?
73113
Groups and Symmetries
154241
What is the easiest way to generate $\mathrm{GL}(n,\mathbb Z)$?