Algebraic & Geometric Topology

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

Armando Martino

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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.

Article information

Algebr. Geom. Topol., Volume 4, Number 1 (2004), 177-198.

Received: 30 December 2002
Revised: 22 March 2004
Accepted: 25 March 2004
First available in Project Euclid: 21 December 2017

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 20E05: Free nonabelian groups
Secondary: 20F28: Automorphism groups of groups [See also 20E36]

free group automorphism fixed subgroup


Martino, Armando. Intersections of automorphism fixed subgroups in the free group of rank three. Algebr. Geom. Topol. 4 (2004), no. 1, 177--198. doi:10.2140/agt.2004.4.177.

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