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Let A be an n by n random matrix with iid entries taken from the p-adic integers or Z/NZ.
Heuristics on class groups of number fields
H. Cohen and H. W. Lenstra, Jr · 1984
Earlier work this paper cites.
On subspaces spanned by random selections of ± 1 \pm 1 vectors
A. M. Odlyzko · 1988
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On the distribution of divisor class groups of curves over a finite field
E. Friedman and L. C. Washington · 1989
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The asymptotic probability that a random biased matrix is invertible
L. S. Charlap, H. D. Rees, and D. P. Robbins · 1990
Earlier work this paper cites.
On the probability that a random ± 1 \pm 1 -matrix is singular
J. Kahn, J. Komlós, and E. Szemerédi · 1995
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Young tableaux
W. Fulton · 1997
Cited alongside, same era.
Singularity probabilities for random matrices over finite fields
J. Kahn and J. Komlós · 2001
Cited alongside, same era.
Additive combinatorics
T. Tao and V. Vu · 2006
Cited alongside, same era.
On random ± 1 \pm 1 matrices: singularity and determinant
T. Tao and V. Vu · 2006
Cited alongside, same era.
Singularity of random matrices over finite fields
K. Maples
Cited in the paper.
On the singularity probability of random Bernoulli matrices
T. Tao and V. Vu · 2007
Later among the works it cites.
Cohen-Lenstra heuristic and roots of unity
G. Malle · 2008
Later among the works it cites.
On the singularity probability of discrete random matrices
J. Bourgain, V. H. Vu, and P. M. Wood · 2010
Later among the works it cites.
Arithmetic Properties of Random Matrices
K. Maples · 2011
Later among the works it cites.
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