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- W3114992652 abstract "We construct and study finitely presented groups with quadratic Dehn function (QD-groups) and present the following applications of the method developed in our recent papers. (1) The isomorphism problem is undecidable in the class of QD-groups. (2) For every recursive function $f$, there is a QD-group $G$ containing a finitely presented subgroup $H$ whose Dehn function grows faster than $f$. (3) There exists a group with undecidable conjugacy problem but decidable power conjugacy problem; this group is QD." @default.
- W3114992652 created "2021-01-05" @default.
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- W3114992652 date "2022-11-10" @default.
- W3114992652 modified "2023-09-30" @default.
- W3114992652 title "Algorithmic problems in groups with quadratic Dehn function" @default.
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- W3114992652 doi "https://doi.org/10.4171/ggd/694" @default.
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