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42 p, 690.7 KB Stallings automata for free-times-abelian groups : intersections and index / Delgado Rodríguez, Jordi (Universidad del País Vasco. Departamento de Matemáticas) ; Ventura, Enric (Universitat Politècnica de Catalunya. Departament de Matemàtiques)
We extend the classical Stallings theory (describing subgroups of free groups as automata) to direct products of free and abelian groups: after introducing enriched automata (i. e. , automata with extra abelian labels), we obtain an explicit bijection between subgroups and a certain type of such enriched automata, which-as it happens in the free group-is computable in the finitely generated case. [...]
2022 - 10.5565/PUBLMAT6622209
Publicacions matemàtiques, Vol. 66 Núm. 2 (2022) , p. 789-830 (Articles)  
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