English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT

Released

Journal Article

Residually free groups do not admit a uniform polynomial isoperimetric function

MPS-Authors
/persons/resource/persons252064

Llosa Isenrich,  Claudio
Max Planck Institute for Mathematics, Max Planck Society;

External Resource
Fulltext (restricted access)
There are currently no full texts shared for your IP range.
Fulltext (public)

1810.00903.pdf
(Preprint), 171KB

Supplementary Material (public)
There is no public supplementary material available
Citation

Llosa Isenrich, C., & Tessera, R. (2020). Residually free groups do not admit a uniform polynomial isoperimetric function. Proceedings of the American Mathematical Society, 148(10), 4203-4212. doi:10.1090/proc/15082.


Cite as: https://hdl.handle.net/21.11116/0000-0007-4F2E-F
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 $G_r\leq F_2^{(1)} \times \dots \times F_2^{(r)}$ 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.