Homology decompositions for p-compact groups

N. Castellana; R. Levi; D.R.A.W. Notbohm

doi:10.1016/j.aim.2007.05.004

Homology decompositions for p-compact groups

N. Castellana, R. Levi, D.R.A.W. Notbohm

Mathematics

Research output: Contribution to Journal › Article › Academic › peer-review

Abstract

We construct a homotopy theoretic setup for homology decompositions of classifying spaces of p-compact groups. This setup is then used to obtain a subgroup decomposition for p-compact groups which generalizes the subgroup decomposition with respect to p-stubborn subgroups for a compact Lie group constructed by Jackowski, McClure and Oliver. © 2007 Elsevier Inc. All rights reserved.

Original language	English
Pages (from-to)	491-534
Journal	Advances in Mathematics
Volume	216
Issue number	2
DOIs	https://doi.org/10.1016/j.aim.2007.05.004
Publication status	Published - 2007

Bibliographical note

MR2351369

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10.1016/j.aim.2007.05.004

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title = "Homology decompositions for p-compact groups",

abstract = "We construct a homotopy theoretic setup for homology decompositions of classifying spaces of p-compact groups. This setup is then used to obtain a subgroup decomposition for p-compact groups which generalizes the subgroup decomposition with respect to p-stubborn subgroups for a compact Lie group constructed by Jackowski, McClure and Oliver. {\textcopyright} 2007 Elsevier Inc. All rights reserved.",

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AU - Levi, R.

AU - Notbohm, D.R.A.W.

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PY - 2007

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N2 - We construct a homotopy theoretic setup for homology decompositions of classifying spaces of p-compact groups. This setup is then used to obtain a subgroup decomposition for p-compact groups which generalizes the subgroup decomposition with respect to p-stubborn subgroups for a compact Lie group constructed by Jackowski, McClure and Oliver. © 2007 Elsevier Inc. All rights reserved.

AB - We construct a homotopy theoretic setup for homology decompositions of classifying spaces of p-compact groups. This setup is then used to obtain a subgroup decomposition for p-compact groups which generalizes the subgroup decomposition with respect to p-stubborn subgroups for a compact Lie group constructed by Jackowski, McClure and Oliver. © 2007 Elsevier Inc. All rights reserved.

U2 - 10.1016/j.aim.2007.05.004

DO - 10.1016/j.aim.2007.05.004

M3 - Article

SN - 0001-8708

VL - 216

SP - 491

EP - 534

JO - Advances in Mathematics

JF - Advances in Mathematics

IS - 2

ER -

Homology decompositions for p-compact groups

Abstract

Bibliographical note

UN SDGs

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