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--- definition:group_isomorphism [2013/08/14 11:15]
bmwoodruff created
+++ definition:group_isomorphism [2013/08/21 10:00] (current)
joshuawiscons
@@ Line 1: / Line 1: @@
 ====== Group Isomorphism ======
 ====Definition====
-Let $f:G\to H$ be a [[definition:group homomorphism|homomorphism]]. If $f$ is also a bijection, then we say that $f$ is a (group) isomorphism. If there exists an isomorphism between $G$ and $H$, then we say that $G$ and $H$ are isomorphic.
+Let $f:G\to H$ be a [[definition:group homomorphism|homomorphism]] of [[definition:group|groups]]. If $f$ is also a [[wp>bijection]], then we say that $f$ is a (group) $\textdef{isomorphism}$. If there exists an isomorphism between $G$ and $H$, then we say that $G$ and $H$ are $\textdef{isomorphic}$, denoted $G\cong H$.
@@ Line 23: / Line 23: @@
 ----
 ==== External links ====
-  * http://en.wikipedia.org/wiki/Group_isomorphism
+  * [[wp>Group isomorphism]]
-{{tag>definition ben needsreview}}
+{{tag>definition ben needsreview rben rjosh}}

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