For each odd prime p, we conjecture the distribution of the p-torsion subgroup of K2n (OF) 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 K2n (OF) is as predicted by this conjecture.
All Science Journal Classification (ASJC) codes
- Algebraic K-theory
- Class group
- Cohen-Lenstra heuristics
- Ring of integers