The module isomorphism problem reconsidered.

DOI10.1016/j.jalgebra.2014.09.004zbMath1315.16039OpenAlexW2067365647MaRDI QIDQ468724

James B. Wilson, Peter A. Brooksbank

Publication date: 7 November 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2014.09.004

zbMATH Keywords

algorithmsconjugacyisomorphisms of modulesmodule isomorphism problem

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Endomorphism rings; matrix rings (16S50) Finite rings and finite-dimensional associative algebras (16P10) Computational aspects of associative rings (general theory) (16Z05) Software, source code, etc. for problems pertaining to associative rings and algebras (16-04)

Related Items (6)

On the Complexity of Isomorphism Problems for Tensors, Groups, and Polynomials I: Tensor Isomorphism-Completeness ⋮ Tensor isomorphism by conjugacy of Lie algebras ⋮ Linear Representation of Graphs: Applications to Molecular Graphs ⋮ The isomorphism problem for uniserial modules over an arbitrary ring ⋮ A fast isomorphism test for groups whose Lie algebra has genus 2 ⋮ Unnamed Item

Uses Software

• GAP
• Magma
• MeatAxe

Cites Work

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• Construction of finite p-groups with prescribed group of noncentral automorphisms
• Isomorphism of graphs of bounded valence can be tested in polynomial time
• On isomorphism testing of a class of 2-nilpotent groups
• The Magma algebra system. I: The user language
• The occurrence of finite groups in the automorphism group of nilpotent groups of class 2
• Complexity of ring morphism problems
• Fast randomized algorithms for the structure of matrix algebras over finite fields (extended abstract)
• Finding Isomorphisms Between Finite Fields
• Treating the Exceptional Cases of the MeatAxe
• Computing Homomorphism Spaces between Modules over Finite Dimensional Algebras
• Nearly Optimal Algorithms for Canonical Matrix Forms

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