Følner sequences in polycyclic groups.

Christophe Pittet

Revista Matemática Iberoamericana (1995)

  • Volume: 11, Issue: 3, page 675-685
  • ISSN: 0213-2230

Abstract

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The isoperimetric inequality |∂Ω| / |Ω| = constant / log |Ω| for finite subsets Ω in a finitely generated group Γ with exponential growth is optimal if Γ is polycyclic.

How to cite

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Pittet, Christophe. "Følner sequences in polycyclic groups.." Revista Matemática Iberoamericana 11.3 (1995): 675-685. <http://eudml.org/doc/39497>.

@article{Pittet1995,
abstract = {The isoperimetric inequality |∂Ω| / |Ω| = constant / log |Ω| for finite subsets Ω in a finitely generated group Γ with exponential growth is optimal if Γ is polycyclic.},
author = {Pittet, Christophe},
journal = {Revista Matemática Iberoamericana},
keywords = {Grupos cíclicos; Grupos finitos; Desigualdades; Función exponencial; Perímetro; finitely generated groups; exponential growth; isoperimetric inequality},
language = {eng},
number = {3},
pages = {675-685},
title = {Følner sequences in polycyclic groups.},
url = {http://eudml.org/doc/39497},
volume = {11},
year = {1995},
}

TY - JOUR
AU - Pittet, Christophe
TI - Følner sequences in polycyclic groups.
JO - Revista Matemática Iberoamericana
PY - 1995
VL - 11
IS - 3
SP - 675
EP - 685
AB - The isoperimetric inequality |∂Ω| / |Ω| = constant / log |Ω| for finite subsets Ω in a finitely generated group Γ with exponential growth is optimal if Γ is polycyclic.
LA - eng
KW - Grupos cíclicos; Grupos finitos; Desigualdades; Función exponencial; Perímetro; finitely generated groups; exponential growth; isoperimetric inequality
UR - http://eudml.org/doc/39497
ER -

Citations in EuDML Documents

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  1. Christophe Pittet, On the isoperimetry of graphs with many ends
  2. Russ Thompson, The rate of escape for random walks on polycyclic and metabelian groups
  3. Thierry Coulhon, Heat kernels on non-compact riemannian manifolds : a partial survey
  4. Thierry Coulhon, Alexander Grigor'yan, Christophe Pittet, A geometric approach to on-diagonal heat kernel lower bounds on groups
  5. Sami Mustapha, Bornes inférieures pour les marches aléatoires sur les groupes p-adiques moyennables

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