Infinite loop spaces from group theory
type: Item
instance of: scholarly article
title: Infinite loop spaces from group theory
zbMATH Open document ID: 0907.55011
DOI: 10.1007/PL00004622
author: Kathryn Lesh
published in: Mathematische Zeitschrift
publication date: 1997-09-04T00:00:00Z
review text: The paper considers factorizations of the Hurewicz map from stable homotopy to singular homology by homology theories arising from symmetric monoidal categories defined by compatible choices of families of subgroups of the symmetric groups. The main example studied comes from the elementary abelian \(p\)-subgroups generated by disjoint cycles. The homotopy type of the corresponding infinite loop space becomes calculated (after completion). The method is to relate \(h\)-pushouts of connective spectra with two-sided bar-constructions on infinite loop spaces. Further analysis of the two-sided bar-construction then makes use of [\textit{J. P. May}, Classifying spaces and fibrations; Mem. Am. Math. Soc. 155 (1975; Zbl 0321.55033)].
Mathematics Subject Classification ID: 55P47
Mathematics Subject Classification ID: 55P91
Mathematics Subject Classification ID: 55P42
zbMATH DE Number: 1057301
zbMATH Keywords: Hurewicz map
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1057301