Groups Acting on Sets Flashcards
1
Q
Left action, G-set
A
2
Q
A
3
Q
Examples: faithful
A
4
Q
G-map
A
5
Q
stable
A
6
Q
G-orbits
A
7
Q
Examples: orbits
A
8
Q
Transitive, homogeneous
A
9
Q
Stabilizer, free action
A
10
Q
Proof of
A
11
Q
Examples: stabilizers
A
12
Q
Stabilizer of a subset
A
13
Q
Transitive actions: isomorphism of G-sets
A
14
Q
Corollary:
A
15
Q
Proof of:
A
16
Q
The Class Equation
A
17
Q
Two Corollaries to Cauchy’s Theorem
A
18
Q
Corollary to Theorem:
A
19
Q
Trick for computing signature
A
20
Q
The Alternating group (generated by)
A
