\(K\)-theory of mapping class groups: General \(p\)-adic \(K\)-theory for punctured spheres
type: Item
instance of: scholarly article
title: \(K\)-theory of mapping class groups: General \(p\)-adic \(K\)-theory for punctured spheres
zbMATH Open document ID: 0841.55003
DOI: 10.1007/BF02571928
author: Luke Hodgkin
published in: Mathematische Zeitschrift
publication date: 1995-08-29T00:00:00Z
full work available at URL: https://eudml.org/doc/174753
review text: Let \(\Gamma^n\) be the mapping class group of the \(n\)-punctured sphere, where \(n \geq 3\), and let \(p\) be a prime. The author computes the \(p\)-adic component of \(K^* (B \Gamma^n)\) by using a formula of Adem. This allows him to describe the classifying spaces. He had previously conjectured that \(K^* (B \Gamma^n)\) is torsion free. He shows here that this is not true.
Mathematics Subject Classification ID: 55N15
Mathematics Subject Classification ID: 19L64
zbMATH DE Number: 784094
zbMATH Keywords: mapping class group
zbMATH Keywords: classifying spaces
reviewed by: C. S. Hoo
MaRDI profile type: Publication
cites work: On the \(K\)-theory of the classifying space of a discrete group
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cites work: Q5677651
OpenAlex ID: W2031008706
description: scientific article; zbMATH DE number 784094