List questions from algebraic-number-theory

Published on 14 Apr 2026 - 18:57

133

Views

class number of $\mathbb{Q}(\sqrt{17})$

Published on 17 Apr 2026 - 8:55

339

Views

Mod $p$-representation ($p$-torsion points ) of elliptic curve (over number fields) with CM can be irreducible?

Published on 18 Apr 2026 - 4:17

131

Views

locally constant $\mathbb{Q}_l$-sheaf from an $A$-torsor.

Published on 16 Apr 2026 - 1:45

70

Views

Number of natural numbers smaller than a given natural number!

Published on 15 Apr 2026 - 6:07

379

Views

Is there a number field of degree n whose ring of integers is a unique factorization domain?

Published on 10 Apr 2026 - 22:59

518

Views

Extending Galois and Cyclotomic Fields

Published on 09 Apr 2026 - 10:54

258

Views

Generator of inertia group in function field extension

Published on 13 Apr 2026 - 11:09

67

Views

Given a minimum polynomial for $\alpha$, find the minimum polynomial for $\alpha/3$

Published on 09 Apr 2026 - 8:05

125

Views

Minimal polynomial in splitting field completion

Published on 12 Apr 2026 - 13:03

274

Views

Are these two explicitly given $10 \times 10$ matrices similar over the integers? Or equivalently, are they shift equivalent over $\mathbb{Z}$?

Published on 26 Mar 2026 - 14:21

58

Views

Trace of an algebraic element

Published on 14 Apr 2026 - 12:00

488

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Prove that there exists a non-principal ideal in $Q(\zeta_{23})$.

Published on 16 Apr 2026 - 0:43

71

Views

Conjugate of a Gauss integer also divides P

Published on 15 Apr 2026 - 7:45

352

Views

Decompose $33+11\sqrt{-7}$ into irreducible integral elements of $\mathbb{Q}(\sqrt{-7})$

Published on 16 Apr 2026 - 23:16

List Question

calculating the index

class number of $\mathbb{Q}(\sqrt{17})$

Mod $p$-representation ($p$-torsion points ) of elliptic curve (over number fields) with CM can be irreducible?

locally constant $\mathbb{Q}_l$-sheaf from an $A$-torsor.

Number of natural numbers smaller than a given natural number!

Is there a number field of degree n whose ring of integers is a unique factorization domain?

Extending Galois and Cyclotomic Fields

Generator of inertia group in function field extension

Given a minimum polynomial for $\alpha$, find the minimum polynomial for $\alpha/3$

Minimal polynomial in splitting field completion

Are these two explicitly given $10 \times 10$ matrices similar over the integers? Or equivalently, are they shift equivalent over $\mathbb{Z}$?

Trace of an algebraic element

Prove that there exists a non-principal ideal in $Q(\zeta_{23})$.

Conjugate of a Gauss integer also divides P

Decompose $33+11\sqrt{-7}$ into irreducible integral elements of $\mathbb{Q}(\sqrt{-7})$

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