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• W2963598209 abstract "A permutoid is a set of partial permutations that contains the identity and is such that partial compositions, when defined, have at most one extension in the set. In 2004 Peter Cameron conjectured that there can exist no algorithm that determines whether or not a permutoid based on a finite set can be completed to a finite permutation group. In this note we prove Cameron’s conjecture by relating it to our recent work on the profinite triviality problem for finitely presented groups. We also prove that the existence problem for finite developments of rigid pseudogroups is unsolvable. In an appendix, Steinberg recasts these results in terms of inverse semigroups." @default.
• W2963598209 created "2019-07-30" @default.
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• W2963598209 date "2017-01-01" @default.
• W2963598209 modified "2023-09-28" @default.
• W2963598209 title "UNDECIDABILITY AND THE DEVELOPABILITY OF PERMUTOIDS AND RIGID PSEUDOGROUPS" @default.
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• W2963598209 doi "https://doi.org/10.1017/fms.2017.6" @default.
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