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Statistical properties of subgroups of free groups

Autor
Bassino, F.; Martino, A.; Nicaud, C.; Ventura, E.; Weil, P.
Tipus d'activitat
Article en revista
Revista
Random structures and algorithms
Data de publicació
2013-02-04
Volum
42
Número
3
Pàgina inicial
349
Pàgina final
373
DOI
https://doi.org/10.1002/rsa.20407 Obrir en finestra nova
Repositori
http://hdl.handle.net/2117/19212 Obrir en finestra nova
URL
http://onlinelibrary.wiley.com/doi/10.1002/rsa.20407/abstract Obrir en finestra nova
Resum
The usual way to investigate the statistical properties of finitely generated subgroups of free groups, and of finite presentations of groups, is based on the so-called word-based distribution: subgroups are generated (finite presentations are determined) by randomly chosen k -tuples of reduced words, whose maximal length is allowed to tend to infinity. In this paper we adopt a different, though equally natural point of view: we investigate the statistical properties of the same objects, but wit...
Citació
Bassino, F. [et al.]. Statistical properties of subgroups of free groups. "Random structures and algorithms", 04 Febrer 2013, vol. 42, núm. 3, p. 349-373.
Paraules clau
Stallings graphs, finite group presentations, malnormality, partial injections, statistical properties, subgroups of free groups
Grup de recerca
GAPCOMB - Geometric, Algebraic and Probabilistic Combinatorics

Participants

  • Bassino, Frederique  (autor)
  • Martino, Armando  (autor)
  • Nicaud, Cyril  (autor)
  • Ventura Capell, Enric  (autor)
  • Weil, Pascal  (autor)

Arxius