So this sentence kind of confuses me:(adsbygoogle = window.adsbygoogle || []).push({});

"On the other hand, if [tex] \alpha[/tex] is a root of [tex]x^3 - x + 1[/tex], then [tex]\beta = \alpha^2[/tex] is a root of [tex]x^3 - 2x^2 + x - 1[/tex]. The two fields Q(\alpha) and Q(\beta) are actually equal though if we were presented only with one of the two polynomials, it might take us some time to notice how they are related."

Okay but how _are_ those two fields actually equal?

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Generation of isomorphic fields by separate algebraic elements

Loading...

Similar Threads - Generation isomorphic fields | Date |
---|---|

I Third Isomorphism Theorem for Rings ... Bland Theorem 3.3.16 | Monday at 9:38 PM |

I SU(2) generators | Jul 28, 2017 |

I ##SU(2)## generators in ##1##, ##2## and ##3## dimensions | Mar 16, 2017 |

I Rings Generated by Elements - Lovett, Example 5.2.1 ... ... | Feb 16, 2017 |

**Physics Forums - The Fusion of Science and Community**