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definition:group_homomorphism [2013/08/14 11:07]
bmwoodruff
definition:group_homomorphism [2013/08/21 10:01] (current)
joshuawiscons
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 ====== Group Homomorphism ====== ====== Group Homomorphism ======
 ====Definition====  ====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 $a,b\in G$.
  
  
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 ---- ----
 ==== External links ==== ==== External links ====
-  * http://en.wikipedia.org/wiki/Group_homomorphism+  * [[wp>Group homomorphism]]
  
  
-{{tag>definition ben needsreview}}+{{tag>definition ben needsreview rben rjosh}}
definition/group_homomorphism.1376492874.txt.gz · Last modified: 2013/08/14 11:07 by bmwoodruff