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15
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Any unit in $\Bbb Z[\zeta_p]$ can be decomposed into a power of $\zeta_p$ and a real unit in $\Bbb Z[\zeta_p]$

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#algebraic-number-theory #roots-of-unity #cyclotomic-fields
44
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Subfields generated by the rationals and a primitive root of unity.

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#field-theory #extension-field #cyclotomic-fields
64
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The number of extensions of $\mathbb{Q}$ with degree $n$ and discriminant dividing $D$

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#algebraic-number-theory #class-field-theory #cyclotomic-fields
65
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Galois group of an extension generated by character of a group

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#representation-theory #galois-theory #cyclotomic-fields
59
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Question about automorphisms of the cyclotomic field and Sagemath

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#field-theory #galois-theory #computer-algebra-systems #sagemath #cyclotomic-fields
46
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Doubt in Cyclotomic Fields and polynomials

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#number-theory #polynomials #roots-of-unity #cyclotomic-fields
56
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A prime $\mathcal{P}$ dividing $\mathbb{Q}(\zeta)$ divides $\Phi_{m}(\alpha)$

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#number-theory #algebraic-number-theory #cyclotomic-polynomials #cyclotomic-fields
50
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Criterion for subfield of $ \mathbb{C} $ to be dense

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#field-theory #extension-field #cyclotomic-fields #algebraic-numbers
26
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Writing the group over cyclotomic fields in GAP

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#group-theory #gap #cyclotomic-fields
65
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Compute Intermediate Extensions of $\Bbb Q[\zeta]/\Bbb Q$.

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#abstract-algebra #galois-theory #cyclotomic-polynomials #cyclotomic-fields
93
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Find Intermediate Fields for $\Bbb Q[\zeta_{31}]/\Bbb Q$.

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#abstract-algebra #field-theory #galois-theory #cyclotomic-fields
76
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Intermediate Extensions of $\Bbb Q[\zeta_{63}]/\Bbb Q$.

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#abstract-algebra #field-theory #extension-field #roots-of-unity #cyclotomic-fields
173
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Prove that $\mathbb Q(\cos\tfrac\pi7)\neq\mathbb Q(\cos\tfrac\pi9)$

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#field-theory #galois-theory #algebraic-number-theory #cubics #cyclotomic-fields
65
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Are norms of elements of cyclotomic fields positive?

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#algebraic-number-theory #cyclotomic-fields
108
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Can three antiprisms (uniform polyhedra) fit exactly around an edge, leaving no gaps?

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#trigonometry #algebraic-number-theory #polyhedra #cyclotomic-fields #algebraic-numbers

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