Computing the ideal class monoid of an order

DOI10.1112/jlms.12294zbMath1462.11106arXiv1805.09671OpenAlexW3103887195MaRDI QIDQ3304706

Stefano Marseglia

Publication date: 3 August 2020

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.09671

zbMATH Keywords

ordersideal classes

Mathematics Subject Classification ID

Algebraic number theory computations (11Y40) Matrices of integers (15B36) Other algebras and orders, and their zeta and (L)-functions (11R54) Matrices, determinants in number theory (11C20)

Related Items (11)

Computation of lattice isomorphisms and the integral matrix similarity problem ⋮ On the Brauer group of bielliptic surfaces (with an appendix by Jonas Bergström and Sofia Tirabassi) ⋮ Computing base extensions of ordinary abelian varieties over finite fields ⋮ Extensions and torsors for finite group schemes ⋮ Finite subgroups of automorphisms of K3 surfaces ⋮ Isomorphism classes of Drinfeld modules over finite fields ⋮ On the computation of overorders ⋮ Canonical modules and class groups of Rees-like algebras ⋮ Ideal classes of orders in quaternion algebras ⋮ Computing square-free polarized abelian varieties over finite fields ⋮ On the computation of the endomorphism rings of abelian surfaces

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• On the computation of overorders
• A survey of integral representation theory
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• On a Theorem of Latimer and Macduffee

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