The equivalence of some residual properties of word-hyperbolic groups

Ilya Kapovich; Daniel T. Wise

doi:10.1006/jabr.1999.8104

The equivalence of some residual properties of word-hyperbolic groups

Ilya Kapovich, Daniel T. Wise

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

Abstract

We show that every word-hyperbolic group is residually finite if and on ly if every word-hyperbolic group has a finite quotient.

Original language	English (US)
Pages (from-to)	562-583
Number of pages	22
Journal	Journal of Algebra
Volume	223
Issue number	2
DOIs	https://doi.org/10.1006/jabr.1999.8104
State	Published - Jan 15 2000
Externally published	Yes

ASJC Scopus subject areas

Algebra and Number Theory

Online availability

10.1006/jabr.1999.8104

Library availability

Discover UIUC Full Text

Cite this

@article{36b680e8812b4734845a05f76dd27dda,

title = "The equivalence of some residual properties of word-hyperbolic groups",

abstract = "We show that every word-hyperbolic group is residually finite if and on ly if every word-hyperbolic group has a finite quotient.",

author = "Ilya Kapovich and Wise, {Daniel T.}",

note = "Funding Information: 1Supported as an NSF Postdoctoral Fellow under grant DMS-9627506.",

year = "2000",

month = jan,

day = "15",

doi = "10.1006/jabr.1999.8104",

language = "English (US)",

volume = "223",

pages = "562--583",

journal = "Journal of Algebra",

issn = "0021-8693",

publisher = "Academic Press Inc.",

number = "2",

}

TY - JOUR

T1 - The equivalence of some residual properties of word-hyperbolic groups

AU - Kapovich, Ilya

AU - Wise, Daniel T.

N1 - Funding Information: 1Supported as an NSF Postdoctoral Fellow under grant DMS-9627506.

PY - 2000/1/15

Y1 - 2000/1/15

N2 - We show that every word-hyperbolic group is residually finite if and on ly if every word-hyperbolic group has a finite quotient.

AB - We show that every word-hyperbolic group is residually finite if and on ly if every word-hyperbolic group has a finite quotient.

UR - http://www.scopus.com/inward/record.url?scp=0034649990&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034649990&partnerID=8YFLogxK

U2 - 10.1006/jabr.1999.8104

DO - 10.1006/jabr.1999.8104

M3 - Article

AN - SCOPUS:0034649990

SN - 0021-8693

VL - 223

SP - 562

EP - 583

JO - Journal of Algebra

JF - Journal of Algebra

IS - 2

ER -

The equivalence of some residual properties of word-hyperbolic groups

Abstract

ASJC Scopus subject areas

Online availability

Library availability

Related links

Fingerprint

Cite this