first isomorphism theorem

If $f:G\to H$ is a homomorphism of groups (or rings, or modules), then it induces an isomorphism $G/\ker f\cong \mathrm{im}f$.

Title	first isomorphism theorem
Canonical name	FirstIsomorphismTheorem
Date of creation	2013-03-22 12:03:39
Last modified on	2013-03-22 12:03:39
Owner	rspuzio (6075)
Last modified by	rspuzio (6075)
Numerical id	9
Author	rspuzio (6075)
Entry type	Theorem
Classification	msc 13A15
Classification	msc 20A05