On two distributions of subgroups of free groups

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Título:	On two distributions of subgroups of free groups
Autor/a:	Bassino, Frédérique; Martino, Armando; Nicaud, Cyril; Ventura Capell, Enric; Weil, Pascal
Otros autores:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III; Universitat Politècnica de Catalunya. MD - Matemàtica Discreta
Abstract:	We study and compare two natural distributions of finitely generated subgroups of free groups. One is based on the random generation of tuples of reduced words; that is the one classically used by group theorists. The other relies on Stallings’ graphical representation of subgroups and in spite of its naturality, it was only recently considered. The combinatorial structures underlying both distributions are studied in this paper with methods of analytic combinatorics. We use these methods to point out the differences between these distributions. It is particularly interesting that certain important properties of subgroups that are generic in one distribution, turn out to be negligible in the other.
Materia(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra -Group theory -Grups, Teoria de
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Tipo de documento:	Artículo - Versión publicada Objeto de conferencia
Editor:	Society for Industrial and Applied Mathematics
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Bassino, Frédérique; Martino, Armando; Nicaud, Cyril; Ventura, Enric; Weil, Pascal

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