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15
237
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Fields closed up to degree $n$

Published on
#abstract-algebra #cyclotomic-fields
795
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Generalization of Kronecker–Weber theorem: is an abelian extension always cyclotomic?

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#abstract-algebra #field-theory #galois-theory #extension-field #cyclotomic-fields
545
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Primitive element for each subfield of a cyclotomic extension

Published on
#galois-theory #primitive-roots #cyclotomic-fields
190
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Bijection between the quadratic subfields of $\mathbb{Q}(\zeta)/\mathbb{Q}$ and the Kronecker Symbols

Published on
#number-theory #characters #cyclotomic-fields
277
Views

Primitive Elements for Cyclotomic Extensions

Published on
#number-theory #galois-theory #algebraic-number-theory #cyclotomic-fields
128
Views

Proving a basic cyclotomic identity

Published on
#fourier-analysis #analytic-number-theory #cyclotomic-polynomials #cyclotomic-fields
696
Views

Degrees of irreducible factors of a polynomial over finite field

Published on
#number-theory #galois-theory #finite-fields #roots-of-unity #cyclotomic-fields
448
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How to compute higher ramification groups?

Published on
#algebraic-number-theory #ramification #cyclotomic-fields
454
Views

A property of the ring of integers of cyclotomic fields

Published on
#abstract-algebra #number-theory #algebraic-number-theory #cyclotomic-fields
385
Views

Basis of the n-th cyclotomic field over Q

Published on
#cyclotomic-fields
496
Views

Cyclotomic extension of $\mathbb{Q}$

Published on
#abstract-algebra #field-theory #cyclotomic-fields
64
Views

Doubt about $p$-th root of unity

Published on
#algebraic-number-theory #cyclotomic-fields
131
Views

$\mathbb{Q}(\zeta_m)=\mathbb{Q}(\zeta_{2m})$

Published on
#number-theory #algebraic-number-theory #cyclotomic-fields
110
Views

What is the relationship between Cyclotomic Field Extensions and Circles?

Published on
#field-theory #extension-field #roots-of-unity #cyclotomic-fields
92
Views

Interesting product in a cyclotomic field

Published on
#cyclotomic-fields

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