Cohomological uniqueness of some p-groups

Antonio Díaz; Albert Ruiz; Antonio Viruel

doi:10.1017/S0013091512000247

Cohomological uniqueness of some p-groups

Antonio Díaz, Albert Ruiz, Antonio Viruel

Research output: Contribution to journal › Article › Research › peer-review

Abstract

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. Copyright © Edinburgh Mathematical Society 2013.

Original language	English
Pages (from-to)	449-468
Journal	Proceedings of the Edinburgh Mathematical Society
Volume	56
Issue number	2
DOIs	https://doi.org/10.1017/S0013091512000247
Publication status	Published - 1 Jun 2013

Keywords

Bockstein spectral sequence
classifying spaces
cohomological uniqueness
finite p-groups
Steenrod algebra

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title = "Cohomological uniqueness of some p-groups",

abstract = "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. Copyright {\textcopyright} Edinburgh Mathematical Society 2013.",

keywords = "Bockstein spectral sequence, classifying spaces, cohomological uniqueness, finite p-groups, Steenrod algebra",

author = "Antonio D{\'i}az and Albert Ruiz and Antonio Viruel",

year = "2013",

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AU - Ruiz, Albert

AU - Viruel, Antonio

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AB - 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. Copyright © Edinburgh Mathematical Society 2013.

KW - Bockstein spectral sequence

KW - classifying spaces

KW - cohomological uniqueness

KW - finite p-groups

KW - Steenrod algebra

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DO - 10.1017/S0013091512000247

M3 - Article

VL - 56

SP - 449

EP - 468

JO - Proceedings of the Edinburgh Mathematical Society

JF - Proceedings of the Edinburgh Mathematical Society

SN - 0013-0915

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