0 like 0 dislike
0 like 0 dislike
[Galois Theory] Is the converse of the Kronecker-Weber theorem true?

1 Answer

0 like 0 dislike
0 like 0 dislike
Isn't it obvious because a quotient of an abelian group can't be non-abelian?

Of course another case of violating "having an abelian Galois group" is not being a Galois extension to begin with... if you include those then of course it would be false (i.e. there exists algebraic number alpha such that Q(alpha) is not even Galois over Q, but some cyclotomic extension can contain alpha, when the splitting field of alpha is abelian over Q)
by

Related questions

0 like 0 dislike
0 like 0 dislike
1 answer
MSR_Tlse asked Jun 21
Are the S3/S4 Edexcel Further Maths units useful to become an actuary? Topics include sampling, unbiased and biased estimators, confidence intervals and significance test...
MSR_Tlse asked Jun 21
0 like 0 dislike
0 like 0 dislike
20 answers
balkissoon asked Jun 21
Considering leaving the actuarial profession. What are some interesting fields you've heard of former actuaries going into? How did they get into the new field?
balkissoon asked Jun 21
0 like 0 dislike
0 like 0 dislike
9 answers
HilaryKHarper asked Jun 21
Has anyone successfully guessed on like half of the questions on an exam and still passed?
HilaryKHarper asked Jun 21
0 like 0 dislike
0 like 0 dislike
2 answers
LondonAssembly asked Jun 21
The Actuarial Education Company finally removed the dictionary definition of "final solution" from their binders
LondonAssembly asked Jun 21
0 like 0 dislike
0 like 0 dislike
2 answers
driveshift asked Jun 21
I did this all wrong but got the right answer? Took half of .075, used d=(1+i)/i to get discount rate, and just added. Decimal was off, but i got the numbers right. Luck?...
driveshift asked Jun 21

24.8k questions

103k answers

0 comments

33.7k users

OhhAskMe is a math solving hub where high school and university students ask and answer loads of math questions, discuss the latest in math, and share their knowledge. It’s 100% free!