Statistics of K-groups modulo p for the ring of integers of a varying quadratic number field

Statistics of K-groups modulo p for the ring of integers of a varying quadratic number field

For each odd prime p, we conjecture the distribution of the p-torsion subgroup of K (O ) as F ranges over real quadratic fields, or over imaginary quadratic fields. We then prove that the average size of the 3-torsion subgroup of K (O ) is as predicted by this conjecture. 2n F 2n F

Bibliographic Details
Main Authors: Jordan, Bruce, Klagsbrun, Zev, Poonen, Bjorn, Skinner, Christopher, Zaytman, Yevgeny
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Mathematical Sciences Publishers 2021
Online Access:https://hdl.handle.net/1721.1/136644

Internet

https://hdl.handle.net/1721.1/136644

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