Difference between revisions of "Homomorphism"
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(New page: Given two groups <math>G,G'</math>, a '''homomorphism''' from <math>G</math> to <math>G'</math> is a function <math>\phi : G \to G'\,</math> such that for all <math>a,b\in G</math>...) |
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Given two [[group]]s <math>G,G'</math>, a '''homomorphism''' from <math>G</math> to <math>G'</math> is a [[function]] <math>\phi : G \to G'\,</math> such that for all <math>a,b\in G</math>, <math>\phi (ab) = \phi (a) \phi (b) \,</math> | Given two [[group]]s <math>G,G'</math>, a '''homomorphism''' from <math>G</math> to <math>G'</math> is a [[function]] <math>\phi : G \to G'\,</math> such that for all <math>a,b\in G</math>, <math>\phi (ab) = \phi (a) \phi (b) \,</math> | ||
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<!--Apologies if the TeX and font size don't work well together. I have Firefox set to use a specified font to avoid a weird bug, so I'm not sure how it'll look normally. - CSGuy --> | <!--Apologies if the TeX and font size don't work well together. I have Firefox set to use a specified font to avoid a weird bug, so I'm not sure how it'll look normally. - CSGuy --> | ||
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| + | ==See Also== | ||
| + | *[[Isomorphism]] | ||
[[Category:Algebra]] | [[Category:Algebra]] | ||
Revision as of 23:18, November 29, 2007
Given two groups 
, a homomorphism from 
to 
is a function 
such that for all 
, 
