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--- definition:group_homomorphism [2013/08/14 11:06]
bmwoodruff created
+++ definition:group_homomorphism [2013/08/21 10:01] (current)
joshuawiscons
@@ Line 1: / Line 1: @@
 ====== Group Homomorphism ======
 ====Definition====
-Let $(G,\cdot)$ and $(H,\times)$ be groups. We say that the function $f:G\to H$ is a group homomorphism if $f(a\cdot b)=f(a)\times f(b)$ for every $a,b\in G$.
+Let $(G,\cdot)$ and $(H,\times)$ be [[definition:group|groups]]. We say that the function $f:G\to H$ is a group $\textdef{homomorphism}$ if $f(a\cdot b)=f(a)\times f(b)$ for every $a,b\in G$.
 ----
 ==== Remarks ====
-  * The map is compatible with the group structures of both $G$ and $H$.
+  * I would like to add something along the lines of "The map is compatible with the group structures of both $G$ and $H$" to the definition above.  If someone has a good way of stating this, feel free to add it above.
@@ Line 23: / Line 23: @@
 ----
 ==== External links ====
-  * http://en.wikipedia.org/wiki/Group_homomorphism
+  * [[wp>Group homomorphism]]
-{{tag>definition}}
+{{tag>definition ben needsreview rben rjosh}}

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