Similarity of matrices over local rings of length two

DOI10.1512/iumj.2015.64.5500zbMath1328.15023arXiv1212.6157OpenAlexW1966254703MaRDI QIDQ5262904

Steven Spallone, Pooja Singla, Amritanshu Prasad

Publication date: 10 July 2015

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.6157

zbMATH Keywords

extensionsautomorphism grouporbitcentralizermatricessimilarity classeslocal ringslocal principal ideal ring

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Permutations, words, matrices (05A05) Noncommutative local and semilocal rings, perfect rings (16L30) Canonical forms, reductions, classification (15A21)

Related Items (6)

Simultaneous similarity classes of commuting matrices over a finite field ⋮ Locally free representations of quivers over commutative Frobenius algebras ⋮ Similarity classes of integral p-adic matrices and representation zeta functions of groups of type A₂ ⋮ Adjoint orbits of matrix groups over finite quotients of compact discrete valuation rings and representation zeta functions ⋮ \(z\)-classes in groups: a survey ⋮ Indecomposable and isomorphic objects in the category of monomial matrices over a local ring

Uses Software

• SageMath

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