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

Mathematics – Group Theory

Scientific paper

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Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol4/agt-4-11.abs.html

Scientific paper

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.

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