Polynomial equations for matrices over integers modulo a prime power and the cokernel of a random matrix

DOI10.1016/j.laa.2023.07.031zbMath1525.15022arXiv2209.03626OpenAlexW4385545389MaRDI QIDQ6051128

Yunqi Liang, Michael Strand, Gilyoung Cheong

Publication date: 19 September 2023

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.03626

zbMATH Keywords

Cohen-Lenstra distributionspolynomial equations over matricesrandom integral matrices

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Endomorphism rings; matrix rings (16S50) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Random matrices (algebraic aspects) (15B52) Matrices over function rings in one or more variables (15A54) Matrices, determinants in number theory (11C20)

Related Items (1)

Mixed moments and the joint distribution of random groups

Cites Work

• Unnamed Item
• Scalar polynomial equations for matrices over a finite field
• Matrix zeros of quadratic equations
• Similarity of matrices over local rings
• Random partitions and Cohen-Lenstra heuristics
• Cohen-Lenstra distributions via random matrices over complete discrete valuation rings with finite residue fields
• Random integral matrices: universality of surjectivity and the cokernel
• Generalizations of results of Friedman and Washington on cokernels of random \(p\)-adic matrices
• Polynomial equations for matrices over finite fields
• The distribution of sandpile groups of random graphs
• Random integral matrices and the Cohen-Lenstra heuristics
• Joint distribution of the cokernels of random \(p\)-adic matrices
• Hall–Littlewood Polynomials, Boundaries, and p-Adic Random Matrices

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