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Jake Haider's user avatar
Jake Haider
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For $K/E$ a number fields extension and $F/E$ a finite Galois extension, how is the ramification in $F\cdot K/K$ related to the one in $F/E$?
added 7 characters in body; edited title
revised
For $K/E$ a number fields extension and $F/E$ a finite Galois extension, how is the ramification in $F\cdot K/K$ related to the one in $F/E$?
changed the approach that answers the question
comment
For $K/E$ a number fields extension and $F/E$ a finite Galois extension, how is the ramification in $F\cdot K/K$ related to the one in $F/E$?
I have been trying for a little while now to see how I can use your suggestion, but could not figure it out. Can you please give me a starting point?
revised
For $K/E$ a number fields extension and $F/E$ a finite Galois extension, how is the ramification in $F\cdot K/K$ related to the one in $F/E$?
edited title
comment
For $K/E$ a number fields extension and $F/E$ a finite Galois extension, how is the ramification in $F\cdot K/K$ related to the one in $F/E$?
Thank you very much. But then to what extent do we have any such restrictions and how does this apply to the particular case of the Proposition mentioned?
asked
For $K/E$ a number fields extension and $F/E$ a finite Galois extension, how is the ramification in $F\cdot K/K$ related to the one in $F/E$?
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All non-split Cartan subroups of $GL_2(\mathbb{Z}/n\mathbb{Z})$ are conjugate
added 4 characters in body
comment
All non-split Cartan subroups of $GL_2(\mathbb{Z}/n\mathbb{Z})$ are conjugate
In the paper that I am reading it says that it follows from Hensel's Lemma, but I could not see why.
asked
All non-split Cartan subroups of $GL_2(\mathbb{Z}/n\mathbb{Z})$ are conjugate