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definition:image_of_a_group_homomorphism [2013/08/14 11:59]
bmwoodruff
definition:image_of_a_group_homomorphism [2013/08/21 10:03] (current)
joshuawiscons [Definition]
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 ====== Image of a Group Homomorphism ====== ====== Image of a Group Homomorphism ======
 ====Definition====  ====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 $$\im f = \{ f(g)\mid g\in G\}.$$
  
  
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 ---- ----
 ==== External links ==== ==== External links ====
-  * [[http://en.wikipedia.org/wiki/Group_homomorphism#Image_and_kernel]]+  * [[wp>Group_homomorphism#Image_and_kernel]]
  
  
-{{tag>definition ben needsreview rben}}+{{tag>definition ben needsreview rben rjosh}}
definition/image_of_a_group_homomorphism.1376495997.txt.gz · Last modified: 2013/08/14 11:59 by bmwoodruff