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Cohen-Lenstra heuristics and random matrix theory over finite fields
- Publication Year :
- 2013
- Publisher :
- arXiv, 2013.
-
Abstract
- Let g be a random element of a finite classical group G, and let \lambda_{z-1}(g) denote the partition corresponding to the polynomial z-1 in the rational canonical form of g. As the rank of G tends to infinity, \lambda_{z-1}(g) tends to a partition distributed according to a Cohen-Lenstra type measure on partitions. We give sharp upper and lower bounds on the total variation distance between the random partition \lambda_{z-1}(g) and the Cohen-Lenstra type measure.
Details
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....93424e7f19a597a94dfa94da7205906f
- Full Text :
- https://doi.org/10.48550/arxiv.1307.0879