Finite automata for Schreier graphs of virtually free groups

• Type: Article in International Scientific Journal
• Date: 2016

Authors

Pedro V. Silva (Author) FCUP; Xaro Soler-Escrivá (Author) Other; Enric Ventura (Author) Other

Journal

Title: Journal of Group Theory

Vol. 19

Pages: 25-54

ISSN: 1433-5883

Publisher: Walter De Gruyter

Indexing

ISI Web of Knowledge - 11 Citations

Scopus - 12 Citations

Other information

Authenticus ID: P-00J-ZW2

DOI: 10.1515/jgth-2015-0028

Abstract (EN): The Stallings construction for f.g. subgroups of free groups is generalized by introducing the concept of Stallings section, which allows efficient computation of the core of a Schreier graph based on edge folding. It is proved that the groups that admit Stallings sections are precisely the f.g. virtually free groups, this is proved through a constructive approach based on Bass-Serre theory. Complexity issues and applications are also discussed.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 30