A combinatorial interpretation of the probabilities of \(p\)-groups in the Cohen-Lenstra measure
type: Item
instance of: scholarly article
title: A combinatorial interpretation of the probabilities of \(p\)-groups in the Cohen-Lenstra measure
zbMATH Open document ID: 1180.05125
author: Johannes Lengler
published in: Journal of Number Theory
publication date: 2008-12-08T00:00:00Z
review text: This paper deals with a connection between the volume of a finite abelian \(p\)-group in the Cohen-Lenstra measure and partitions of a certain type. A nice formula for the probability of a \(p\)-group to have a specific exponent is also infered.
reviewed by: Marius Tărnăuceanu
Mathematics Subject Classification ID: 05E10
Mathematics Subject Classification ID: 11P81
zbMATH DE Number: 5379235
zbMATH Keywords: Cohen-Lenstra measure
zbMATH Keywords: partition
zbMATH Keywords: p-group
zbMATH Keywords: exponent
MaRDI profile type: Publication
full work available at URL: j.jnt.2007.08.007
OpenAlex ID: W2007085837
cites work: Q4146776
cites work: Q3222942
cites work: Q3035404
DOI: 10.1016/J.JNT.2007.08.007
description: scientific article; zbMATH DE number 5379235