Counting subgroups using Stallings automata and generalisations

Authors

  • Paloma López Larios Universitat Politècnica de Catalunya

Keywords:

Stallings automata, enriched automata, finite index subgroup

Abstract

El problema de comptar els subgrups d’índex finit del grup lliure va ser abordat el 1949 per Marshall Hall, que va proporcionar una formula recursiva per al nombre de subgrups d’un índex finit donat en un grup lliure de rang finit. Aquest treball proporciona una prova del resultat de Hall utilitzant la teoria dels autòmats de Stallings. A més, veurem com obtenir una fórmula similar en el cas dels grups lliure per lliure-abelians, fent servir una generalització de la teoria dels autòmats de Stallings per a la família de grups lliure per lliure-abelians.

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Published

2024-01-26

How to Cite

López Larios, P. (2024). Counting subgroups using Stallings automata and generalisations. Reports@SCM, 8(1), 57–58. Retrieved from https://revistes.iec.cat/index.php/reports/article/view/151068

Issue

Vol. 8 No. 1 (2023)

Section

Extended Abstracts

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