Nonarithmetic superrigid groups: Counterexamples to Platonov's conjecture

Hyman Bass; Alexander Lubotzky

doi:10.2307/121131

Nonarithmetic superrigid groups: Counterexamples to Platonov's conjecture

Hyman Bass^*
, Alexander Lubotzky

^*Corresponding author for this work

Einstein Institute of Mathematics

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

29 Scopus citations

Abstract

Margulis showed that "most" arithmetic groups are superrigid. Platonov conjectured, conversely, that finitely generated linear groups which are superrigid must be of "arithmetic type." We construct counterexamples to Platonov's Conjecture.

Original language	English
Pages (from-to)	1151-1173
Number of pages	23
Journal	Annals of Mathematics
Volume	151
Issue number	3
DOIs	https://doi.org/10.2307/121131
State	Published - May 2000

Access to Document

10.2307/121131

Cite this

@article{9c69ee6a1ea5428584fb210c7e8f8380,

title = "Nonarithmetic superrigid groups: Counterexamples to Platonov's conjecture",

abstract = "Margulis showed that {"}most{"} arithmetic groups are superrigid. Platonov conjectured, conversely, that finitely generated linear groups which are superrigid must be of {"}arithmetic type.{"} We construct counterexamples to Platonov's Conjecture.",

author = "Hyman Bass and Alexander Lubotzky",

year = "2000",

month = may,

doi = "10.2307/121131",

language = "אנגלית",

volume = "151",

pages = "1151--1173",

journal = "Annals of Mathematics",

issn = "0003-486X",

publisher = "Department of Mathematics at Princeton University",

number = "3",

}

TY - JOUR

T1 - Nonarithmetic superrigid groups

T2 - Counterexamples to Platonov's conjecture

AU - Bass, Hyman

AU - Lubotzky, Alexander

PY - 2000/5

Y1 - 2000/5

N2 - Margulis showed that "most" arithmetic groups are superrigid. Platonov conjectured, conversely, that finitely generated linear groups which are superrigid must be of "arithmetic type." We construct counterexamples to Platonov's Conjecture.

AB - Margulis showed that "most" arithmetic groups are superrigid. Platonov conjectured, conversely, that finitely generated linear groups which are superrigid must be of "arithmetic type." We construct counterexamples to Platonov's Conjecture.

UR - https://www.scopus.com/pages/publications/0034347520

U2 - 10.2307/121131

DO - 10.2307/121131

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:0034347520

SN - 0003-486X

VL - 151

SP - 1151

EP - 1173

JO - Annals of Mathematics

JF - Annals of Mathematics

IS - 3

ER -

Nonarithmetic superrigid groups: Counterexamples to Platonov's conjecture

Abstract

Access to Document

Other files and links

Fingerprint

Cite this