Left action, G-set



Examples: faithful


G-map

stable

G-orbits


Examples: orbits


Transitive, homogeneous

Stabilizer, free action


Proof of


Examples: stabilizers


Stabilizer of a subset

Transitive actions: isomorphism of G-sets

Corollary:


Proof of:


The Class Equation

Two Corollaries to Cauchy’s Theorem


Corollary to Theorem:


Trick for computing signature

The Alternating group (generated by)
