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Cohomological uniqueness of some p-groups

Part of: Fiber spaces and bundles Representation theory of groups

Published online by Cambridge University Press:  30 August 2012

Antonio Díaz ,
Albert Ruiz  and
Antonio Viruel
Antonio Díaz
Affiliation:
Department of Mathematical Sciences, University of Copenhagen, Universitetsparken 5, 2100 Copenhagen, Denmark ([email protected]) Departamento de Álgebra, Geometría y Topología, Universidad de Málaga, Apartado de correos 59, 29080 Málaga, Spain ([email protected]; [email protected])
Albert Ruiz
Affiliation:
Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Cerdanyola del Vallès, Spain ([email protected])
Antonio Viruel
Affiliation:
Departamento de Álgebra, Geometría y Topología, Universidad de Málaga, Apartado de correos 59, 29080 Málaga, Spain ([email protected]; [email protected])
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Abstract

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We consider classifying spaces of a family of p-groups and prove that mod p cohomology enriched with Bockstein spectral sequences determines their homotopy type among p-completed CW-complexes.

Keywords

classifying spacesfinite p-groupscohomological uniquenessSteenrod algebraBockstein spectral sequence

MSC classification

Secondary: 55R35: Classifying spaces of groups and $H$-spaces 20D20: Sylow subgroups, Sylow properties, $pi$-groups, $pi$-structure
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 56 , Issue 2 , June 2013 , pp. 449 - 468
Copyright
Copyright © Edinburgh Mathematical Society 2013

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