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Stallings automata for Fn Zm

Author
Delgado, J.
Type of activity
Presentation of work at congresses
Name of edition
Groups of intermediate growth in Seville 2017
Date of publication
2017
Book of congress proceedings
Groups of intermediate growth in Seville
Repository
https://www.imus.us.es/GIGS17/index.php?carga=program Open in new window
Abstract
We extend to free-abelian by free groups the classic Stallings theory (describing subgroups of the free group as automata) by admitting abelian labels in the edges, and modifying consequently the folding process. This approach allow us to solve the membership problem for this family, and provides a nice geometric framework to study intersections in the case of direct products. If time allows, I will illustrate the results with an example. Joint work with Enric Ventura.
Group of research
COMBGRAPH - Combinatorics, Graph Theory and Applications

Participants

  • Delgado Rodriguez, Jorge  (author and speaker )