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math.NT2009
The Cohen-Lenstra Heuristic: Methodology and Results
Johannes Lengler
In number theory, great efforts have been undertaken to study the Cohen-Lenstra probability measure on the set of all finite abelian -groups. On the other hand, group theorists…
math.NT2009
The Global Cohen-Lenstra Heuristic
Johannes Lengler
The Cohen-Lenstra heuristic is a universal principle that assigns to each group a probability that tells how often this group should occur "in nature". The most important, but not…