Homology decompositions for p-compact groups

Natàlia Castellana; Ran Levi; Dietrich Notbohm

doi:10.1016/J.AIM.2007.05.004

Homology decompositions for p-compact groups

Natàlia Castellana, Ran Levi, Dietrich Notbohm

Mathematical Science

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

8 Citations (Scopus)

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.

Original language	English
Pages (from-to)	491-534
Number of pages	44
Journal	Advances in Mathematics
Volume	216
Issue number	2
Early online date	18 May 2007
DOIs	https://doi.org/10.1016/J.AIM.2007.05.004
Publication status	Published - 20 Dec 2007

Keywords

p-compact groups
homology decompositions
classifying space

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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.",

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AU - Castellana, Natàlia

AU - Levi, Ran

AU - Notbohm, Dietrich

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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.

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.

KW - p-compact groups

KW - homology decompositions

KW - classifying space

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

Keywords

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