Question and Answers Forum

All Questions      Topic List

None Questions

Previous in All Question      Next in All Question      

Previous in None      Next in None      

Question Number 218199 by Mamadi last updated on 01/Apr/25

$$describestherupturebodyonQ$$$$ofpolynomials.$$$$a)X^5+1b)X^6-X^3+1$$

Answered by MrGaster last updated on 02/Apr/25

$$a:\mathbb{Q}\left(10\right),{\mathrm{\Phi }}_{10}\left(X\right)=X^4-X^3+X^2-X+1\wedge [\mathbb{Q}\left({\zeta }_{10}\right):\mathbb{Q}]=\varphi \left(10\right)=4$$$$b:\mathbb{Q}\left({\zeta }_{18}\right),{\mathrm{\Phi }}_{18}\left(X\right)=X^6-X^3+1\wedge [\mathbb{Q}\left({\zeta }_{18}\right):\mathbb{Q}]=\varphi \left(18\right)=6$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com