Isoperimetric inequalities for nilpotent groups

SM Gersten; DF Holt; TR Riley

doi:10.1007/s00039-003-0430-y

Isoperimetric inequalities for nilpotent groups

SM Gersten
, DF Holt
, TR Riley

School of Mathematics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

21 Citations (Scopus)

Abstract

We prove that every finitely generated nilpotent group of class c admits a polynomial isoperimetric function of degree c + 1 and a linear upper bound on its filling length function.

Translated title of the contribution	Isoperimetric inequalities for nilpotent groups
Original language	English
Pages (from-to)	795 - 814
Number of pages	20
Journal	Geometric and Functional Analysis
Volume	13 (4)
DOIs	https://doi.org/10.1007/s00039-003-0430-y
Publication status	Published - Aug 2003

Bibliographical note

Publisher: Birkhäuser Basel
Other identifier: EISSN: 1420-8970 (Online)

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@article{4911c1c8f9b042d6a78f2073832f32a0,

title = "Isoperimetric inequalities for nilpotent groups",

abstract = "We prove that every finitely generated nilpotent group of class c admits a polynomial isoperimetric function of degree c + 1 and a linear upper bound on its filling length function.",

author = "SM Gersten and DF Holt and TR Riley",

note = "Publisher: Birkh{\"a}user Basel Other identifier: EISSN: 1420-8970 (Online)",

year = "2003",

month = aug,

doi = "10.1007/s00039-003-0430-y",

language = "English",

volume = "13 (4)",

pages = "795 -- 814",

journal = "Geometric and Functional Analysis",

issn = "1016-443X",

publisher = "Birkhauser Verlag Basel",

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TY - JOUR

T1 - Isoperimetric inequalities for nilpotent groups

AU - Gersten, SM

AU - Holt, DF

AU - Riley, TR

N1 - Publisher: Birkhäuser Basel Other identifier: EISSN: 1420-8970 (Online)

PY - 2003/8

Y1 - 2003/8

N2 - We prove that every finitely generated nilpotent group of class c admits a polynomial isoperimetric function of degree c + 1 and a linear upper bound on its filling length function.

AB - We prove that every finitely generated nilpotent group of class c admits a polynomial isoperimetric function of degree c + 1 and a linear upper bound on its filling length function.

U2 - 10.1007/s00039-003-0430-y

DO - 10.1007/s00039-003-0430-y

M3 - Article (Academic Journal)

SN - 1016-443X

VL - 13 (4)

SP - 795

EP - 814

JO - Geometric and Functional Analysis

JF - Geometric and Functional Analysis

ER -

Isoperimetric inequalities for nilpotent groups

Abstract

Bibliographical note

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