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.

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A. Martino
Centre de Recerca Matemetica, Apartat 50
E-08193 Bellaterra, Spain

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