Homology decompositions for p-compact groups

Natàlia Castellana, Ran Levi, Dietrich Notbohm

Research output: Contribution to journalArticle

5 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 languageEnglish
Pages (from-to)491-534
Number of pages44
JournalAdvances in Mathematics
Volume216
Issue number2
Early online date18 May 2007
DOIs
Publication statusPublished - 20 Dec 2007

Fingerprint

P-compact Group
Homology
Subgroup
Decompose
Classifying Space
Compact Lie Group
Homotopy
Generalise

Keywords

  • p-compact groups
  • homology decompositions
  • classifying space

Cite this

Homology decompositions for p-compact groups. / Castellana, Natàlia; Levi, Ran; Notbohm, Dietrich.

In: Advances in Mathematics, Vol. 216, No. 2, 20.12.2007, p. 491-534.

Research output: Contribution to journalArticle

Castellana, Natàlia ; Levi, Ran ; Notbohm, Dietrich. / Homology decompositions for p-compact groups. In: Advances in Mathematics. 2007 ; Vol. 216, No. 2. pp. 491-534.
@article{1fc9a34df29a4244a033bfa42c16363e,
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.",
keywords = "p-compact groups, homology decompositions, classifying space",
author = "Nat{\`a}lia Castellana and Ran Levi and Dietrich Notbohm",
year = "2007",
month = "12",
day = "20",
doi = "10.1016/J.AIM.2007.05.004",
language = "English",
volume = "216",
pages = "491--534",
journal = "Advances in Mathematics",
issn = "0001-8708",
publisher = "Academic Press Inc.",
number = "2",

}

TY - JOUR

T1 - Homology decompositions for p-compact groups

AU - Castellana, Natàlia

AU - Levi, Ran

AU - Notbohm, Dietrich

PY - 2007/12/20

Y1 - 2007/12/20

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

VL - 216

SP - 491

EP - 534

JO - Advances in Mathematics

JF - Advances in Mathematics

SN - 0001-8708

IS - 2

ER -