Article ID Journal Published Year Pages File Type
4595046 Journal of Number Theory 2008 15 Pages PDF
Abstract

In this paper, I will introduce a link between the volume of a finite abelian p-group in the Cohen–Lenstra measure and partitions of a certain type. These partitions will be classified by the output of an algorithm. As a corollary, I will give a formula (7.2) for the probability of a p-group to have a specific exponent.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory