Homological and homotopical higher-order filling functions

Research output: Contribution to journalArticle

Abstract

We construct groups in which FV3(n) ≁ δ 2(n). This construction also leads to groups Gk, k ≥ 3, for which δk(n) is not subrecursive.

Original languageEnglish (US)
Pages (from-to)683-690
Number of pages8
JournalGroups, Geometry, and Dynamics
Volume5
Issue number3
DOIs
StatePublished - 2011

Fingerprint

K-group
Higher Order

Keywords

  • Dehn functions
  • Filling invariants

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Geometry and Topology

Cite this

Homological and homotopical higher-order filling functions. / Young, Robert.

In: Groups, Geometry, and Dynamics, Vol. 5, No. 3, 2011, p. 683-690.

Research output: Contribution to journalArticle

@article{0c4e0fcb8b2b48b8b676951dd2110329,
title = "Homological and homotopical higher-order filling functions",
abstract = "We construct groups in which FV3(n) ≁ δ 2(n). This construction also leads to groups Gk, k ≥ 3, for which δk(n) is not subrecursive.",
keywords = "Dehn functions, Filling invariants",
author = "Robert Young",
year = "2011",
doi = "10.4171/GGD/144",
language = "English (US)",
volume = "5",
pages = "683--690",
journal = "Groups, Geometry, and Dynamics",
issn = "1661-7207",
publisher = "European Mathematical Society Publishing House",
number = "3",

}

TY - JOUR

T1 - Homological and homotopical higher-order filling functions

AU - Young, Robert

PY - 2011

Y1 - 2011

N2 - We construct groups in which FV3(n) ≁ δ 2(n). This construction also leads to groups Gk, k ≥ 3, for which δk(n) is not subrecursive.

AB - We construct groups in which FV3(n) ≁ δ 2(n). This construction also leads to groups Gk, k ≥ 3, for which δk(n) is not subrecursive.

KW - Dehn functions

KW - Filling invariants

UR - http://www.scopus.com/inward/record.url?scp=79959414417&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79959414417&partnerID=8YFLogxK

U2 - 10.4171/GGD/144

DO - 10.4171/GGD/144

M3 - Article

VL - 5

SP - 683

EP - 690

JO - Groups, Geometry, and Dynamics

JF - Groups, Geometry, and Dynamics

SN - 1661-7207

IS - 3

ER -