Growth tightness of free and amalgamated products

Andrea Sambusetti

Annales scientifiques de l'École Normale Supérieure (2002)

  • Volume: 35, Issue: 4, page 477-488
  • ISSN: 0012-9593

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Sambusetti, Andrea. "Growth tightness of free and amalgamated products." Annales scientifiques de l'École Normale Supérieure 35.4 (2002): 477-488. <http://eudml.org/doc/82579>.

@article{Sambusetti2002,
author = {Sambusetti, Andrea},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {growth properties of groups; growth functions; growth tightness; entropy of finitely generated groups; finite generating sets; word metrics; free products; subgroups of finite index; amalgamated products; Hopfian groups},
language = {eng},
number = {4},
pages = {477-488},
publisher = {Elsevier},
title = {Growth tightness of free and amalgamated products},
url = {http://eudml.org/doc/82579},
volume = {35},
year = {2002},
}

TY - JOUR
AU - Sambusetti, Andrea
TI - Growth tightness of free and amalgamated products
JO - Annales scientifiques de l'École Normale Supérieure
PY - 2002
PB - Elsevier
VL - 35
IS - 4
SP - 477
EP - 488
LA - eng
KW - growth properties of groups; growth functions; growth tightness; entropy of finitely generated groups; finite generating sets; word metrics; free products; subgroups of finite index; amalgamated products; Hopfian groups
UR - http://eudml.org/doc/82579
ER -

References

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  1. [1] Bucher M., De La Harpe P., Free products with amalgamation and HNN-extensions which are of uniformly exponential growth, Preprint of the Mathematical Institut of the University of Genève, 1999. Zbl0998.20025
  2. [2] Grigorchuk R., de la Harpe P., On problems related to growth, entropy and spectrum in group theory, J. Dynam. Control Systems3 (1) (1997) 51-89. Zbl0949.20033MR1436550
  3. [3] Gromov M., Structures métriques pour les variétés riemanniennes, Cedic/Fernand Nathan, Paris, 1981. Zbl0509.53034MR682063
  4. [4] Koubi M., Croissance et liberté dans les groupes hyperboliques, thèse de doctorat de Mathématiques de l'Université Paul Sabatier, 1998. 
  5. [5] Magnus W., Solitar D., Karras A., Combinatorial Group Theory: Presentation of Groups in Terms of Generators and Relations, Pure and Applied Mathematics, Interscience Publishers, New York, 1966. Zbl0138.25604MR207802
  6. [6] Sambusetti A., Entropy and irreducibility, in preparation. 
  7. [7] Scott P., Wall T., Topological Methods in Group Theory, in: Homological Group Theory, Proc. Symposium, Durham, September 1977, London Math. Soc. Lecture Notes Series, 36, 1977. Zbl0423.20023MR564422

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