Algebraic and Geometric Topology 4 (2004), paper no. 11, pages 177-198.

Intersections of automorphism fixed subgroups in the free group of rank three

A. Martino


Abstract. We show that in the free group of rank 3, given an arbitrary number of automorphisms, the intersection of their fixed subgroups is equal to the fixed subgroup of some other single automorphism.

Keywords. Free group, Automorphism, Fixed subgroup

AMS subject classification. Primary: 20E05. Secondary: 20F28.

DOI: 10.2140/agt.2004.4.177

E-print: arXiv:math.GR/0404388

Submitted: 30 December 2002. (Revised: 22 March 2004.) Accepted: 25 March 2004. Published: 31 March 2004.

Notes on file formats

A. Martino
Centre de Recerca Matemetica, Apartat 50
E-08193 Bellaterra, Spain
Email: AMartino@crm.es

AGT home page

EMIS/ELibM Electronic Journals

Outdated Archival Version

These pages are not updated anymore. They reflect the state of 21 Apr 2006. For the current production of this journal, please refer to http://msp.warwick.ac.uk/.