Difference between revisions of "Homomorphism"
From Conservapedia
(Bypass redirect so I don't have to later.) |
|||
| Line 1: | Line 1: | ||
| − | 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 (mathematics)|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> |
<!--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 --> | ||
Revision as of 21:06, November 17, 2008
Given two groups 
, a homomorphism from 
to 
is a function 
such that for all 
, 
