Isomorphism theorems

Group isomorphism theorems

The isomorphism theorems for groups are expressed as follows

First isomorphism theorem

Let be a Group homomorphism. Then the quotient by the kernel is isomorphic to the image: #m/thm/group

Second isomorphism theorem

Let . Then #m/thm/group

Third isomorphism theorem

Let be normal subgroups so that . Then and #m/thm/group

#state/tidy | #lang/en | #SemBr