Van Kampen's embedding obstruction for discrete groups

Mladen Bestvina, Michael Kapovich, Bruce Kleiner

Research output: Contribution to journalArticle

Abstract

We give a lower bound to the dimension of a contractible manifold on which a given group can act properly discontinuously. In particular, we show that the n-fold product of nonabelian free groups cannot act properly discontinuously on ℝ2n-1.

Original languageEnglish (US)
Pages (from-to)219-235
Number of pages17
JournalInventiones Mathematicae
Volume150
Issue number2
DOIs
StatePublished - 2002

Fingerprint

Discrete Group
Free Group
Obstruction
Fold
Lower bound

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Van Kampen's embedding obstruction for discrete groups. / Bestvina, Mladen; Kapovich, Michael; Kleiner, Bruce.

In: Inventiones Mathematicae, Vol. 150, No. 2, 2002, p. 219-235.

Research output: Contribution to journalArticle

Bestvina, Mladen ; Kapovich, Michael ; Kleiner, Bruce. / Van Kampen's embedding obstruction for discrete groups. In: Inventiones Mathematicae. 2002 ; Vol. 150, No. 2. pp. 219-235.
@article{6bc9cafbdd1e4e45862f76ba6ffb6e12,
title = "Van Kampen's embedding obstruction for discrete groups",
abstract = "We give a lower bound to the dimension of a contractible manifold on which a given group can act properly discontinuously. In particular, we show that the n-fold product of nonabelian free groups cannot act properly discontinuously on ℝ2n-1.",
author = "Mladen Bestvina and Michael Kapovich and Bruce Kleiner",
year = "2002",
doi = "10.1007/s00222-002-0246-7",
language = "English (US)",
volume = "150",
pages = "219--235",
journal = "Inventiones Mathematicae",
issn = "0020-9910",
publisher = "Springer New York",
number = "2",

}

TY - JOUR

T1 - Van Kampen's embedding obstruction for discrete groups

AU - Bestvina, Mladen

AU - Kapovich, Michael

AU - Kleiner, Bruce

PY - 2002

Y1 - 2002

N2 - We give a lower bound to the dimension of a contractible manifold on which a given group can act properly discontinuously. In particular, we show that the n-fold product of nonabelian free groups cannot act properly discontinuously on ℝ2n-1.

AB - We give a lower bound to the dimension of a contractible manifold on which a given group can act properly discontinuously. In particular, we show that the n-fold product of nonabelian free groups cannot act properly discontinuously on ℝ2n-1.

UR - http://www.scopus.com/inward/record.url?scp=0035981372&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035981372&partnerID=8YFLogxK

U2 - 10.1007/s00222-002-0246-7

DO - 10.1007/s00222-002-0246-7

M3 - Article

VL - 150

SP - 219

EP - 235

JO - Inventiones Mathematicae

JF - Inventiones Mathematicae

SN - 0020-9910

IS - 2

ER -