Joint distribution of the cokernels of random \(p\)-adic matrices

DOI10.1515/forum-2022-0209zbMath1522.15030arXiv2201.09572OpenAlexW4367680406MaRDI QIDQ6133255

Jungin Lee

Publication date: 24 July 2023

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.09572

zbMATH Keywords

Cohen-Lenstra heuristicsrandom \(p\)-adic matrix

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Random matrices (algebraic aspects) (15B52) Relations with random matrices (11M50) Matrices, determinants in number theory (11C20)

Related Items

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, Mixed moments and the joint distribution of random groups, Universality for cokernels of random matrix products

Cites Work

• Modeling the distribution of ranks, Selmer groups, and Shafarevich-Tate groups of elliptic curves
• On a Cohen-Lenstra heuristic for Jacobians of random graphs
• Random matrices, the Cohen-Lenstra heuristics, and roots of unity
• 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
• \(p^\ell\)-torsion points in finite abelian groups and combinatorial identities
• The distribution of class groups of function fields
• Densities for Ranks of Certain Parts of p-Class Groups
• Some Remarks on Cohen-Lenstra Heuristics
• Heuristics on class groups and on Tate-Shafarevich groups
• Heuristics on Tate-Shafarevitch Groups of Elliptic Curves Defined over Q
• The distribution of sandpile groups of random graphs
• Random integral matrices and the Cohen-Lenstra heuristics
• Unnamed Item
• Unnamed Item