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Computing isomorphisms between lattices (Q5118858)

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scientific article; zbMATH DE number 7240972

Language	Label	Description	Also known as
English	Computing isomorphisms between lattices	scientific article; zbMATH DE number 7240972

Statements

scholarly article

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Computing isomorphisms between lattices (English)

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Mathematics of Computation

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publication date

27 August 2020

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full work available at URL

https://arxiv.org/abs/1806.08631

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zbMATH Keywords

lattice

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isomorphism

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algorithm

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order

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number field

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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Algorithmic Number Theory

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Computing in arithmetic groups with Voronoï's algorithm.

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The Magma algebra system. I: The user language

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Picard Groups and Refined Discrete Logarithms

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On the computation of the HNF of a module over the ring of integers of a number field

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Computing generators of free modules over orders in group algebras.

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Computing generators of free modules over orders in group algebras II

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Computing associated orders and Galois generating elements of unit lattices

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Computations in Relative Algebraic K-Groups

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Exact sequences and Galois module structure

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Advanced Topics in Computional Number Theory

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Un anneau d'entiers stablement libre et non libre

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Stably free rings of integers over \(\mathbb{Z}[H_8\times C_2]\)

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Galois module structure of the square root of the inverse different in even degree tame extensions of number fields

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Computing Hilbert Modular Forms over Fields with Nontrivial Class Group

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The Galois structure of the square root of the inverse different

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Computing in quotients of rings of integers

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On the construction of class fields

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Euclidean Rings

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Some Problems of Galois Module Structure for Wild Extensions

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An algorithm for the construction of a normal basis

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On Representations of Orders Over Dedekind Domains

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Cancellation in totally definite quaternion algebras

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On extensions of lattices

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On normal integral bases of local fields

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Corrigendum: Algorithmic Enumeration of Ideal Classes for Quaternion Orders

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Über die Hauptordnung der ganzen Elemente eines abelschen Zahlkörpers.

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The ring of integers of an abelian number field.

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Normalbasis bei Körpern ohne höhere Verzweigung.

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Recognition of division algebras.

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An algorithm for the principal ideal problem in indefinite quaternion algebras

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Fast Probabilistic Algorithms for Verification of Polynomial Identities

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A note on cancellation in totally definite quaternion algebras

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Projective modules over binary polyhedral groups.

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On Fröhlich's conjecture for rings of integers of tame extensions

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Normal Bases in Galois Extensions of Number Fields

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Computing the character table of a finite group.

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On the square root of the inverse different

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Identifiers

zbMATH Open document ID

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10.1090/mcom/3543

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5118858

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