# Kernel18

Prove that a given function is a ring homomorphism and describe its kernel
Computation of all ring homomorphisms from Z to Z/(30)
Generalized coordinate subgroups of a direct product
Stabilizer commutes with conjugation II
Stabilizer commutes with conjugation
Compute the kernel of the left regular action of a group on itself
A group action is faithful precisely when the kernel of the corresponding permutation representation is trivial
The kernel of a group action is precisely the kernel of the induced permutation representation
The kernel and stabilizers of a group action are subgroups
Exhibit a group homomorphism on the Heisenberg group