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- W3019672321 abstract "We show that there is no uniform polynomial isoperimetric function for finitely presented subgroups of direct products of free groups by producing a sequence of subgroups $G_rleq F_2^{(1)} times dots times F_2^{(r)}$ of direct products of 2-generated free groups with Dehn functions bounded below by $n^{r}$. The groups $G_r$ are obtained from the examples of non-coabelian subdirect products of free groups constructed by Bridson, Howie, Miller, and Short. As a consequence we obtain that residually free groups do not admit a uniform polynomial isoperimetric function." @default.
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- W3019672321 date "2020-06-01" @default.
- W3019672321 modified "2023-10-13" @default.
- W3019672321 title "Residually free groups do not admit a uniform polynomial isoperimetric function" @default.
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- W3019672321 doi "https://doi.org/10.1090/proc/15082" @default.
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