Alternate definition of symmetric group action
67949
$S_3$ permutes the elements of $\mathbb{R}^3$, show that $\sigma (x_1, x_2, x_3) = ( x_{\sigma^{-1}(1)}, x_{\sigma^{-1}(2)}, x_{\sigma^{-1}(3)})$.
78523
Is symmetric group on natural numbers countable?
63098
Properly discontinuous actions and discrete groups in complete Riemannian manifolds.
133179
Fixed points under action of conjugate group elements
32578
Skew-symmetric function
111883
Representations of a product of Lie groups
11627
Find the center of the symmetry group $S_n$.
39405
Symmetric difference = Ø
103613
Two Claims about Symplectic Group Actions
140563
Concrete examples of group actions.
59234
Standard definition of group isomorphism
123677
Normal subgroups of infinite symmetric group
45277
The alternating group is a normal subgroup of the symmetric group
114901
In what sense is the proper/effective action $\Gamma[\phi_c]$ a quantum-corrected classical action $S[\phi]$?
40846
When can a (finite) group be written as the quotient of some other group by its center?
58149
Working with symmetric polynomials
145809
Automorphism group of a lie algebra as a lie subgroup of $GL(\frak g)$