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• W3100127623 endingPage "2126" @default.
• W3100127623 startingPage "2079" @default.
• W3100127623 abstract "We study dismantling properties of the arc, disc and sphere graphs. We prove that any finite subgroup H of the mapping class group of a surface with punctures, the handlebody group, or Out(F_n) fixes a filling (resp. simple) clique in the appropriate graph. We deduce realisation theorems, in particular the Nielsen Realisation Problem in the case of a nonempty set of punctures. We also prove that infinite H have either empty or contractible fixed point sets in the corresponding complexes. Furthermore, we show that their spines are classifying spaces for proper actions for mapping class groups and Out(F_n)." @default.
• W3100127623 created "2020-11-23" @default.
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• W3100127623 date "2014-10-02" @default.
• W3100127623 modified "2023-10-13" @default.
• W3100127623 title "Realisation and dismantlability" @default.
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• W3100127623 doi "https://doi.org/10.2140/gt.2014.18.2079" @default.
• W3100127623 hasPublicationYear "2014" @default.
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