Are there only finitely many number fields with given prime factors of discriminant?
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Let $S subseteq mathbb P$ be a finite set of prime numbers. Is it true that there are only finitely many number fields $K$ such that $p mid Delta_K$ implies $p in S$?
abstract-algebra number-theory algebraic-number-theory discriminant
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up vote
0
down vote
favorite
Let $S subseteq mathbb P$ be a finite set of prime numbers. Is it true that there are only finitely many number fields $K$ such that $p mid Delta_K$ implies $p in S$?
abstract-algebra number-theory algebraic-number-theory discriminant
3
What about $mathbb Q(zeta_p^r)$ with $S=p$?
â Mathmo123
Aug 28 at 15:42
Thanks. I posted a follow up question where I explained how this question here arose: math.stackexchange.com/questions/2898107/â¦
â principal-ideal-domain
Aug 29 at 8:38
add a comment |Â
up vote
0
down vote
favorite
up vote
0
down vote
favorite
Let $S subseteq mathbb P$ be a finite set of prime numbers. Is it true that there are only finitely many number fields $K$ such that $p mid Delta_K$ implies $p in S$?
abstract-algebra number-theory algebraic-number-theory discriminant
Let $S subseteq mathbb P$ be a finite set of prime numbers. Is it true that there are only finitely many number fields $K$ such that $p mid Delta_K$ implies $p in S$?
abstract-algebra number-theory algebraic-number-theory discriminant
asked Aug 28 at 14:26
principal-ideal-domain
2,693521
2,693521
3
What about $mathbb Q(zeta_p^r)$ with $S=p$?
â Mathmo123
Aug 28 at 15:42
Thanks. I posted a follow up question where I explained how this question here arose: math.stackexchange.com/questions/2898107/â¦
â principal-ideal-domain
Aug 29 at 8:38
add a comment |Â
3
What about $mathbb Q(zeta_p^r)$ with $S=p$?
â Mathmo123
Aug 28 at 15:42
Thanks. I posted a follow up question where I explained how this question here arose: math.stackexchange.com/questions/2898107/â¦
â principal-ideal-domain
Aug 29 at 8:38
3
3
What about $mathbb Q(zeta_p^r)$ with $S=p$?
â Mathmo123
Aug 28 at 15:42
What about $mathbb Q(zeta_p^r)$ with $S=p$?
â Mathmo123
Aug 28 at 15:42
Thanks. I posted a follow up question where I explained how this question here arose: math.stackexchange.com/questions/2898107/â¦
â principal-ideal-domain
Aug 29 at 8:38
Thanks. I posted a follow up question where I explained how this question here arose: math.stackexchange.com/questions/2898107/â¦
â principal-ideal-domain
Aug 29 at 8:38
add a comment |Â
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3
What about $mathbb Q(zeta_p^r)$ with $S=p$?
â Mathmo123
Aug 28 at 15:42
Thanks. I posted a follow up question where I explained how this question here arose: math.stackexchange.com/questions/2898107/â¦
â principal-ideal-domain
Aug 29 at 8:38