Fixed points of endomorphisms of graph groups

• Type: Article in International Scientific Journal
• Date: 2013

Authors

Emanuele Rodaro (Author) FCUP; Pedro V. Silva (Author) FCUP; Sykiotis, M (Author) Other

Journal

Title: Journal of Group Theory

Vol. 16

Pages: 573-583

ISSN: 1433-5883

Publisher: Walter De Gruyter

Indexing

ISI Web of Knowledge - 11 Citations

Scopus - 10 Citations

Other information

Authenticus ID: P-006-9MF

DOI: 10.1515/jgt-2012-0047

Abstract (EN): It is shown, for a given graph group G, that the fixed point subgroup Fix phi is finitely generated for every endomorphism phi of G if and only if G is a free product of free abelian groups. The same conditions hold for the subgroup of periodic points. Similar results are obtained for automorphisms if the dependence graph of G is a transitive forest.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 11