Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4593695 | Journal of Number Theory | 2015 | 11 Pages |
Abstract
We propose a modification to the Cohen–Lenstra prediction for the distribution of class groups of number fields, which should also apply when the base field contains non-trivial roots of unity. The underlying heuristic derives from the distribution of 1-eigenspaces in certain generalized symplectic groups over finite rings. The motivation for that heuristic comes from the function field case. We also give explicit formulas for the new predictions in several important cases. These are in close accordance with known data.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Michael Adam, Gunter Malle,