Difference between revisions of "Isomorphism"

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Given two [[Group (mathematics)|group]]s <math>G,G'</math>, an '''isomorphism''' from <math>G</math> to <math>G'</math> is a [[function]] <math>\phi : G \to G'\,</math> such that <math>\phi</math> is a [[homomorphism]] and <math>\phi</math> is [[Bijection|bijective]].<br /><br />
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mksadgasdogafogivaeirvth> is [[Bijection|bijective]].<br /><br />
 
Two groups <math>G,G'</math> are called '''isomorphic''' if an isomorphism from <math>G</math> to <math>G'</math> exists.
 
Two groups <math>G,G'</math> are called '''isomorphic''' if an isomorphism from <math>G</math> to <math>G'</math> exists.
 
<!--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 13:21, June 19, 2010

mksadgasdogafogivaeirvth> is bijective.

Two groups <math>G,G'</math> are called isomorphic if an isomorphism from <math>G</math> to <math>G'</math> exists.

See Also