Metadata shorthands: {} aliases: [Natural projection of group theory] created: 2021-12-06 13:29:42 modified: 2022-01-10 04:13:02 is a group and is a normal subgroup. Then is the natural homomorphism.1
shorthands: {} aliases: [Natural projection of group theory] created: 2021-12-06 13:29:42 modified: 2022-01-10 04:13:02
turns the input into the coset that it represents, . Now it is easy to see that:
So is really a homomorphism.
Where is the Quotient group ↩