Volume 4, issue 1 (2004)

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

Armando Martino

Algebraic & Geometric Topology 4 (2004) 177–198

arXiv: math.GR/0404388

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
Mathematical Subject Classification 2000
Primary: 20E05
Secondary: 20F28
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Publication
Received: 30 December 2002
Revised: 22 March 2004
Accepted: 25 March 2004
Published: 31 March 2004
Authors
Armando Martino
Centre de Recerca Matemetica
Apartat 50
E-08193 Bellaterra
Spain