Question

If $\chi$ is even, why is $B_{n,\chi\omega^{-n}}$ nonzero?

score 81 · Answer 1 · 2019-10-06 04:41:49

81

Views

If $\chi$ is even, why is $B_{n,\chi\omega^{-n}}$ nonzero?

Published on 06 Oct 2019 - 4:41

score 129 · Answer 2 · 2019-10-11 10:18:52

129

Views

Quotients in cyclotomic fields: $\mathbb{Z} [\zeta_{pqr}] /(1 - \zeta_p,1 - \zeta_q) \cong \mathbb{Z} [\zeta_{r}] /(pq) $?

Published on 11 Oct 2019 - 10:18

score 265 · Answer 3 · 2019-10-13 05:33:05

265

Views

Using totally ramified prime to find the degree of extension of cyclotomic field.

Published on 13 Oct 2019 - 5:33

score 242 · Answer 4 · 2019-10-18 23:14:00

242

Views

Field elements which become $n$th powers after adjoining an $n$th root of unity

Published on 18 Oct 2019 - 23:14

score 513 · Answer 5 · 2026-03-25 04:42:51

513

Views

$\mathbb{Q}(\sqrt{n})$ is Contained in the Cyclotomic Field of the $4n$'th Primitive Root of Unity.

Published on 25 Mar 2026 - 4:42

score 325 · Answer 6 · 2019-11-19 17:49:39

325

Views

Are there any nontrivial unramified extensions between two cyclotomic fields?

Published on 19 Nov 2019 - 17:49

score 67 · Answer 7 · 2019-11-27 21:38:55

67

Views

Do roots of unity keep their order under quotient by (co)prime?

Published on 27 Nov 2019 - 21:38

score 47 · Answer 8 · 2019-12-07 18:40:24

47

Views

about the order of a finite extension of a finite group

Published on 07 Dec 2019 - 18:40

score 259 · Answer 9 · 2019-12-10 00:37:38

259

Views

A few questions on subfields of $Q(\zeta_n)$

Published on 10 Dec 2019 - 0:37

score 30 · Answer 10 · 2019-12-26 01:04:03

30

Views

What are $E^+,C^+$ and the p-part of the quotient $E^+/C^+$

Published on 26 Dec 2019 - 1:04

score 60 · Answer 11 · 2019-12-29 08:36:23

60

Views

Some Galois groups of cyclotomic field.

Published on 29 Dec 2019 - 8:36

score 35 · Answer 12 · 2020-01-05 20:12:32

35

Views

Why can I claim that one of these ideals must be 1 in a proof regarding primality of ideals for cyclotomic fields?

Published on 05 Jan 2020 - 20:12

score 131 · Answer 13 · 2020-01-17 13:32:26

131

Views

Roots of unity in $\mathcal{O}_{K}$, where $K=\mathbb{Q}(\sqrt{5},\sqrt{-2})$.

Published on 17 Jan 2020 - 13:32

score 240 · Answer 14 · 2020-01-27 14:22:02

240

Views

Find all the fixed subfield of $Gal(\mathbb{Q}(\zeta_{40})/\mathbb{Q})$

Published on 27 Jan 2020 - 14:22

score 47 · Answer 15 · 2020-02-23 06:36:22

47

Views

Show that $\text{tr}(x(1-\zeta)) \in (1-\zeta)\mathcal{O}_K$

Published on 23 Feb 2020 - 6:36

List Question

If $\chi$ is even, why is $B_{n,\chi\omega^{-n}}$ nonzero?

Quotients in cyclotomic fields: $\mathbb{Z} [\zeta_{pqr}] /(1 - \zeta_p,1 - \zeta_q) \cong \mathbb{Z} [\zeta_{r}] /(pq) $?

Using totally ramified prime to find the degree of extension of cyclotomic field.

Field elements which become $n$th powers after adjoining an $n$th root of unity

$\mathbb{Q}(\sqrt{n})$ is Contained in the Cyclotomic Field of the $4n$'th Primitive Root of Unity.

Are there any nontrivial unramified extensions between two cyclotomic fields?

Do roots of unity keep their order under quotient by (co)prime?

about the order of a finite extension of a finite group

A few questions on subfields of $Q(\zeta_n)$

What are $E^+,C^+$ and the p-part of the quotient $E^+/C^+$

Some Galois groups of cyclotomic field.

Why can I claim that one of these ideals must be 1 in a proof regarding primality of ideals for cyclotomic fields?

Roots of unity in $\mathcal{O}_{K}$, where $K=\mathbb{Q}(\sqrt{5},\sqrt{-2})$.

Find all the fixed subfield of $Gal(\mathbb{Q}(\zeta_{40})/\mathbb{Q})$

Show that $\text{tr}(x(1-\zeta)) \in (1-\zeta)\mathcal{O}_K$

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