On the cohomology of mod \(p\) homotopy commutative H-spaces
type: Item
instance of: scholarly article
title: On the cohomology of mod \(p\) homotopy commutative H-spaces
zbMATH Open document ID: 0761.55010
DOI: 10.1007/BF02571422
author: Michael Slack
published in: Mathematische Zeitschrift
publication date: 1993-03-03T00:00:00Z
full work available at URL: https://eudml.org/doc/174435
review text: It is shown that a \(p\)-local \(H\)-space with a homotopy commutative, homotopy associative multiplication and finitely many even degree algebra generators in the mod \(p\) cohomology can have even degree generators only in degrees \(2p^ k\) for \(k\geq 0\). Spaces which satisfy these hypotheses and do have generators in degrees \(2p^ k\) for \(0\leq k\leq 2\) are shown to exist.
Mathematics Subject Classification ID: 55P45
zbMATH DE Number: 126402
zbMATH Keywords: \(p\)-local \(H\)-space
zbMATH Keywords: mod\( p\) cohomology
zbMATH Keywords: generators
MaRDI profile type: Publication
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cites work: Q5605153
OpenAlex ID: W1543069995
description: scientific article; zbMATH DE number 126402