Fixed points of irreducible, displacement one automorphisms of free products

2023/05/02 by Collins, Matthew
#20E08 (Secondary) #20F65 (Primary) 20E36 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2305.01451

Abstract

We consider the action of outer automorphisms on the deformation space O of G-trees given by a free product decomposition of a group G. We show that an irreducible, displacement 1 automorphism fixes exactly one point in O₁ (the covolume 1 slice of O).

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