Question

Adjoining an element with given minimal polynomial to a DVR of characteristic p.

score 60 · Answer 1 · 2026-03-25 03:07:32

60

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Adjoining an element with given minimal polynomial to a DVR of characteristic p.

Published on 25 Mar 2026 - 3:07

score 155 · Answer 2 · 2026-03-30 02:58:54

155

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Find a factorisation in a cubic field.

Published on 30 Mar 2026 - 2:58

score 94 · Answer 3 · 2026-04-10 02:18:48

94

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Determining Maximal Orders of a Quaternion Algebra

Published on 10 Apr 2026 - 2:18

score 84 · Answer 4 · 2026-03-30 05:26:51

84

Views

Let $K/\mathbb Q$ be a number field and a Galois extension. Show $K$ contains the field $\mathbb Q(\sqrt{d_K})$ where $d_K = \mathrm{disc}(K)$.

Published on 30 Mar 2026 - 5:26

score 72 · Answer 5 · 2026-04-13 17:25:39

72

Views

Is $\operatorname{Frac}(\bigcap_{i \in I}R_i)=K$ when each $R_i$ is integrally closed and $\operatorname{Frac}(R_i)=K$?

Published on 13 Apr 2026 - 17:25

score 66 · Answer 6 · 2026-04-14 00:49:29

66

Views

When do integers satisfy simple quadratic relation?

Published on 14 Apr 2026 - 0:49

score 87 · Answer 7 · 2026-04-11 06:08:17

87

Views

When does localisation behave badly?

Published on 11 Apr 2026 - 6:08

score 50 · Answer 8 · 2026-03-25 08:10:51

50

Views

Show that $q$ must divide one of the prime integer factors of $N(q)$.

Published on 25 Mar 2026 - 8:10

score 255 · Answer 9 · 2026-03-25 05:10:04

255

Views

decomposition group and inertia group, the minimal polynomial,surjectivity of the map $D_{M/P}\rightarrow Gal$

Published on 25 Mar 2026 - 5:10

score 229 · Answer 10 · 2026-03-29 21:40:44

229

Views

Is this correct? $N(\langle a, b \rangle) = \gcd(N(a), N(b))$

Published on 29 Mar 2026 - 21:40

score 435 · Answer 11 · 2018-12-05 17:50:40

435

Views

Algebraic integers in a quadratic number field

Published on 05 Dec 2018 - 17:50

score 449 · Answer 12 · 2026-03-24 23:45:53

449

Views

An abelian variety not isogenous to a Jacobian

Published on 24 Mar 2026 - 23:45

score 119 · Answer 13 · 2026-04-14 01:15:52

119

Views

An elementary problem of proving congruences in a statement about absolute Galois group for $\mathbb{F}_{p}.$

Published on 14 Apr 2026 - 1:15

score 342 · Answer 14 · 2026-04-13 17:02:03

342

Views

Valuation of the p adic logarithm

Published on 13 Apr 2026 - 17:02

score 205 · Answer 15 · 2026-04-10 13:56:38

205

Views

Understanding problem in Milne's notes on class field theory

Published on 10 Apr 2026 - 13:56

List Question

Adjoining an element with given minimal polynomial to a DVR of characteristic p.

Find a factorisation in a cubic field.

Determining Maximal Orders of a Quaternion Algebra

Let $K/\mathbb Q$ be a number field and a Galois extension. Show $K$ contains the field $\mathbb Q(\sqrt{d_K})$ where $d_K = \mathrm{disc}(K)$.

Is $\operatorname{Frac}(\bigcap_{i \in I}R_i)=K$ when each $R_i$ is integrally closed and $\operatorname{Frac}(R_i)=K$?

When do integers satisfy simple quadratic relation?

When does localisation behave badly?

Show that $q$ must divide one of the prime integer factors of $N(q)$.

decomposition group and inertia group, the minimal polynomial,surjectivity of the map $D_{M/P}\rightarrow Gal$

Is this correct? $N(\langle a, b \rangle) = \gcd(N(a), N(b))$

Algebraic integers in a quadratic number field

An abelian variety not isogenous to a Jacobian

An elementary problem of proving congruences in a statement about absolute Galois group for $\mathbb{F}_{p}.$

Valuation of the p adic logarithm

Understanding problem in Milne's notes on class field theory

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