List questions from cyclotomic-fields

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Cyclotomic field of 9th root of unity

Published on 25 Mar 2026 - 9:53

71

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Arithmetic in cyclotomic field

Published on 25 Mar 2026 - 9:46

248

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Ramification in Maximal Totally Real Subfield

Published on 10 May 2026 - 16:10

85

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The constuctability of n-gon(regular n-polygon)

Published on 09 Apr 2026 - 10:06

226

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Prove that $G(\mathbb{Q}(\zeta)/\mathbb{Q}) $ and $\mathbb{Z}_n^\times$ are Isomorphic

Published on 25 Mar 2026 - 9:49

94

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Difficulty in building a Galois-equivariant map in the cyclotomic case

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121

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Cyclotomic polynomial for any positive integer

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82

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Kolyvagin's Euler systems and their properties

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820

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How to find generators for the subfields of $\mathbb{Q}(\zeta_{12})$

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91

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Why does an element of the Galois group of $K(\mu_n)/K$ maps an $n$-th root of unity to another $n$-th root of unity?

Published on 25 Mar 2026 - 9:50

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Compute the inertial degrees of two prime ideals e.g the inertial degree of $P/(2)$ where P is prime in $Q[e^{\frac{2\pi i}{23}}]$ lying over (2))

Published on 25 Mar 2026 - 9:51

483

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Pseudo-isomorphism in Iwasawa Theory

Published on 25 Mar 2026 - 11:22

125

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Unit roots group is isomorphic to $\Bbb{Q}/\Bbb{Z}\left[\frac{1}{p}\right]$ in a field of characteristic $p\ge0$

Published on 25 Mar 2026 - 11:24

302

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Exercise 4.8 from Marcus'book "Number fields"

Published on 25 Mar 2026 - 9:53

List Question

The Ideal Class Group of $R = \mathbb{Z}[e^{2i\pi/p}]$

Cyclotomic field of 9th root of unity

Arithmetic in cyclotomic field

Ramification in Maximal Totally Real Subfield

The constuctability of n-gon(regular n-polygon)

Prove that $G(\mathbb{Q}(\zeta)/\mathbb{Q}) $ and $\mathbb{Z}_n^\times$ are Isomorphic

Difficulty in building a Galois-equivariant map in the cyclotomic case

Cyclotomic polynomial for any positive integer

Kolyvagin's Euler systems and their properties

How to find generators for the subfields of $\mathbb{Q}(\zeta_{12})$

Why does an element of the Galois group of $K(\mu_n)/K$ maps an $n$-th root of unity to another $n$-th root of unity?

Compute the inertial degrees of two prime ideals e.g the inertial degree of $P/(2)$ where P is prime in $Q[e^{\frac{2\pi i}{23}}]$ lying over (2))

Pseudo-isomorphism in Iwasawa Theory

Unit roots group is isomorphic to $\Bbb{Q}/\Bbb{Z}\left[\frac{1}{p}\right]$ in a field of characteristic $p\ge0$

Exercise 4.8 from Marcus'book "Number fields"

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