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--- definition:image_of_a_group_homomorphism [2013/08/14 11:38]
bmwoodruff created
+++ definition:image_of_a_group_homomorphism [2013/08/21 10:03] (current)
joshuawiscons [Definition]
@@ Line 1: / Line 1: @@
 ====== Image of a Group Homomorphism ======
 ====Definition====
-Let $f:G\to H$ be a [[definition:group homomorphism]].  The image of $f$ is the set of elements of $H$ that are mapped to by $f$, namely $$\im f = \{ f(g)\mid g\in G\}.$$
+Let $f:G\to H$ be a [[definition:group homomorphism]].  The $\textdef{image}$ of $f$ is the set of elements of $H$ that are mapped to by $f$, namely $$\im f = \{ f(g)\mid g\in G\}.$$
@@ Line 23: / Line 23: @@
 ----
 ==== External links ====
-  * [[http://en.wikipedia.org/wiki/Group_homomorphism#Image_and_kernel]]
+  * [[wp>Group_homomorphism#Image_and_kernel]]
-{{tag>definition}}
+{{tag>definition ben needsreview rben rjosh}}

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