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--- definition:kernel_of_a_group_homomorphism [2013/08/14 11:23]
bmwoodruff created
+++ definition:kernel_of_a_group_homomorphism [2013/08/21 10:05] (current)
joshuawiscons
@@ Line 1: / Line 1: @@
-====== Kernel of a Homomorphism ======
+====== Kernel of a Group Homomorphism ======
 ====Definition====
-Let $f:G\to H$ be a [[definition:group homomorphism]]. The kernel of $f$ is the collection of elements of $G$ that map to the indentity $e_H$ element of $H$. In set notation, we write $$\ker f = \{ g\in G\mid f(g)=e_H\},$$
+Let $f:G\to H$ be a [[definition:group homomorphism]]. The $\textdef{kernel}$ of $f$ is the collection of elements of $G$ that map to the indentity $e_H$ element of $H$. In set notation, we write $$\ker f = \{ g\in G\mid f(g)=e_H\}.$$
@@ Line 23: / Line 23: @@
 ----
 ==== External links ====
-  * http://en.wikipedia.org/wiki/Kernel_(algebra)#Group_homomorphisms
+  * [[wp>Kernel_(algebra)#Group_homomorphisms]]
-{{tag>definition ben needsreview}}
+{{tag>definition ben needsreview rben}}

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