List questions from cyclotomic-fields

Published on 14 Apr 2020 - 16:46

241

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Cyclotomic field of 9th root of unity

Published on 14 Apr 2020 - 17:04

70

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Arithmetic in cyclotomic field

Published on 15 Apr 2020 - 16:56

247

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Ramification in Maximal Totally Real Subfield

Published on 25 Mar 2026 - 4:38

84

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

Published on 23 Feb 2026 - 4:55

225

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

Published on 07 May 2020 - 4:29

93

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

Published on 11 May 2020 - 9:37

120

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Cyclotomic polynomial for any positive integer

Published on 13 May 2020 - 14:44

81

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Kolyvagin's Euler systems and their properties

Published on 15 May 2020 - 11:41

819

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

Published on 20 May 2020 - 20:33

90

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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 22 May 2020 - 2:48

143

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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 22 May 2020 - 16:27

482

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Pseudo-isomorphism in Iwasawa Theory

Published on 26 May 2020 - 11:55

124

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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 28 May 2020 - 2:47

301

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Exercise 4.8 from Marcus'book "Number fields"

Published on 30 May 2020 - 14:13

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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