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arXiv · 1301.1239

Cokernels of random matrices satisfy the Cohen-Lenstra heuristics

Kenneth Maples
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Abstract

Let A be an n by n random matrix with iid entries taken from the p-adic integers or Z/NZ. Then under mild non-degeneracy conditions the cokernel of A has a universal probability distribution. In particular, the p-part of an iid random matrix over the integers has cokernel distributed according to the Cohen-Lenstra measure up to an exponentially small error.

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Kenneth Maples. 2013-07-05. Cokernels of random matrices satisfy the Cohen-Lenstra heuristics. https://arxiv.org/abs/1301.1239

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