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

Martino, Armando

doi:10.2140/agt.2004.4.177

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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

DOI: 10.2140/agt.2004.4.177

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

Volume 4, issue 1 (2004)