On p-completed classifying spaces of discrete groups and finite complexes

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

It is shown that for certain discrete p-perfect groups G, in particular for all p-perfect finite groups and certain groups of finite virtual cohomological dimension, the loop space on the p-completed classifying space Omega BG(p)(A) is a retract of the loop space on the p-completion of a certain finite complex. For those finite virtual cohomological dimension groups where the author's methods apply, a bound on the dimension of such a complex is provided.

Original languageEnglish
Pages (from-to)1064-1080
Number of pages17
JournalJournal of the London Mathematical Society
Volume59
Issue number3
DOIs
Publication statusPublished - 1999

Keywords

  • cohomology
  • Sullivan
  • torsion

Cite this

On p-completed classifying spaces of discrete groups and finite complexes. / Levi, Ran.

In: Journal of the London Mathematical Society, Vol. 59, No. 3, 1999, p. 1064-1080.

Research output: Contribution to journalArticle

@article{e1877f9fe3bf43f59b0b78ed4b5e3994,
title = "On p-completed classifying spaces of discrete groups and finite complexes",
abstract = "It is shown that for certain discrete p-perfect groups G, in particular for all p-perfect finite groups and certain groups of finite virtual cohomological dimension, the loop space on the p-completed classifying space Omega BG(p)(A) is a retract of the loop space on the p-completion of a certain finite complex. For those finite virtual cohomological dimension groups where the author's methods apply, a bound on the dimension of such a complex is provided.",
keywords = "cohomology, Sullivan, torsion",
author = "Ran Levi",
year = "1999",
doi = "10.1112/S0024610799007279",
language = "English",
volume = "59",
pages = "1064--1080",
journal = "Journal of the London Mathematical Society",
issn = "0024-6107",
publisher = "Oxford University Press",
number = "3",

}

TY - JOUR

T1 - On p-completed classifying spaces of discrete groups and finite complexes

AU - Levi, Ran

PY - 1999

Y1 - 1999

N2 - It is shown that for certain discrete p-perfect groups G, in particular for all p-perfect finite groups and certain groups of finite virtual cohomological dimension, the loop space on the p-completed classifying space Omega BG(p)(A) is a retract of the loop space on the p-completion of a certain finite complex. For those finite virtual cohomological dimension groups where the author's methods apply, a bound on the dimension of such a complex is provided.

AB - It is shown that for certain discrete p-perfect groups G, in particular for all p-perfect finite groups and certain groups of finite virtual cohomological dimension, the loop space on the p-completed classifying space Omega BG(p)(A) is a retract of the loop space on the p-completion of a certain finite complex. For those finite virtual cohomological dimension groups where the author's methods apply, a bound on the dimension of such a complex is provided.

KW - cohomology

KW - Sullivan

KW - torsion

U2 - 10.1112/S0024610799007279

DO - 10.1112/S0024610799007279

M3 - Article

VL - 59

SP - 1064

EP - 1080

JO - Journal of the London Mathematical Society

JF - Journal of the London Mathematical Society

SN - 0024-6107

IS - 3

ER -