July 6th, 2015, 03:11 AM  #1 
Newbie Joined: May 2015 From: Poland Posts: 3 Thanks: 0  Normal closure
How to find normal closure over $\mathbb{Q}$ of that:$\mathbb{Q}\sqrt[5]{3})$ and that $\mathbb{Q}(\sqrt[7]{2}))$
Last edited by Frodo94; July 6th, 2015 at 03:33 AM. 
July 13th, 2015, 05:22 AM  #2 
Senior Member Joined: Apr 2014 From: Greater London, England, UK Posts: 320 Thanks: 156 Math Focus: Abstract algebra 
Just add a primitive complex root of unity.
Last edited by Olinguito; July 13th, 2015 at 05:29 AM. 

Tags 
closure, normal 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Closure of the Closure of a Set  jjpbq6  Real Analysis  3  March 6th, 2013 05:26 PM 
show that the closure of A is subset of closure of B  450081592  Real Analysis  4  November 2nd, 2011 07:25 AM 
Product normal implies components normal  cos5000  Real Analysis  3  November 18th, 2009 08:52 PM 
set closure..  ElMarsh  Algebra  3  October 3rd, 2009 07:01 AM 
Normal Closure...  TTB3  Abstract Algebra  3  March 17th, 2009 12:16 PM 