Cohen-Lenstra distributions via random matrices over complete discrete valuation rings with finite residue fields

DOI10.1215/00192082-8939615zbMath1489.11152arXiv1812.11728OpenAlexW3156180691MaRDI QIDQ2039738

Gilyoung Cheong, Yifeng Huang

Publication date: 5 July 2021

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.11728

zbMATH Keywords

Cohen-Lenstra heuristicscokernels\(p\)-adic random matrices

Mathematics Subject Classification ID

Asymptotic results on counting functions for algebraic and topological structures (11N45) Random matrices (algebraic aspects) (15B52) Matrices, determinants in number theory (11C20) Combinatorial aspects of groups and algebras (05E16)

Related Items (7)

On Iwasawa 𝜆-invariants for abelian number fields and random matrix heuristics ⋮ Generalizations of results of Friedman and Washington on cokernels of random \(p\)-adic matrices ⋮ Polynomial equations for matrices over integers modulo a prime power and the cokernel of a random matrix ⋮ Universality of the cokernels of random 𝑝-adic Hermitian matrices ⋮ Joint distribution of the cokernels of random \(p\)-adic matrices ⋮ Mixed moments and the joint distribution of random groups ⋮ Traces of powers of matrices over finite fields

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• Random integral matrices and the Cohen-Lenstra heuristics

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