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Abstract
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For each odd prime
, we conjecture
the distribution of the
-torsion
subgroup of
as
ranges over
real quadratic fields, or over imaginary quadratic fields. We then prove that the average size
of the
-torsion
subgroup of
is as predicted by this conjecture.
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Keywords
algebraic K-theory, ring of integers, class group,
Cohen-Lenstra heuristics
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Mathematical Subject Classification 2010
Primary: 11R70
Secondary: 11R29, 19D50, 19F99
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Milestones
Received: 21 June 2018
Revised: 27 January 2019
Accepted: 12 March 2019
Published: 2 August 2019
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