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• W2153669004 abstract "We associate a contractible ‘outer space’ to any free product of groups G = G1 * … * Gq. It is identical to Culler–Vogtmann space when G is free, and McCullough–Miller space when no Gi is ℤ. Our proof of contractibility (given when G is not free) is based on Skora's idea of deforming morphisms between trees. Using the action of Out(G) on this space, we show that Out(G) has finite virtual cohomological dimension, or is VFL (it has a finite index subgroup with a finite classifying space), if the groups Gi and Out(Gi) have similar properties. We deduce that Out(G) is VFL if G is a torsion-free hyperbolic group, or a limit group (finitely generated fully residually free group)." @default.
• W2153669004 created "2016-06-24" @default.
• W2153669004 creator A5050290670 @default.
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• W2153669004 date "2007-02-08" @default.
• W2153669004 modified "2023-10-18" @default.
• W2153669004 title "The outer space of a free product" @default.
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• W2153669004 doi "https://doi.org/10.1112/plms/pdl026" @default.
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