second isomorphism theorem

created by ariels

(thing) by ariels (1 d) (print)

1 C!

Sat May 27 2000 at 16:50:56

Here's the formulation for group theory; replace "group" by whatever to get it in other domains (it usually holds whenever it may be formulated).

Let G be a group, H a normal subgroup of G, and N a normal subgroup of G which is also a subgroup of H. Then

(G/N) / (H/N)

is isomorphic to G/H.

Example of a normal subgroup of a normal subgroup which is not normal	proof of the second isomorphism theorem	popularity of isomorphism theorems	third isomorphism theorem
isomorphism theorems	Lemma of Choice	March 5, 2004	normal subgroup
first isomorphism theorem	The Richard D. James Album	Jordan-Holder theorem	proof
ML

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