Difference between revisions of "Isomorphism"
Jump to navigation
Jump to search
| Line 2: | Line 2: | ||
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 --> | ||
| + | |||
| + | ==See Also== | ||
| + | *[[Automorphism]] | ||
[[Category:Algebra]] | [[Category:Algebra]] | ||
Revision as of 20:22, November 16, 2008
Given two groups <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 bijective.
Two groups <math>G,G'</math> are called isomorphic if an isomorphism from <math>G</math> to <math>G'</math> exists.