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Olshanskii–Sapir conjecture on the Dehn function of an S-machine
An S-machine is a rewriting device whose rules form its program; its Dehn function measures the maximal area of a van Kampen diagram of boundary length at most a given value. Olsha…
Conjectureopendehn-functions geometric-group-theory s-machinesarXiv posted 2 days ago
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Rips and Sapir's conjecture on hub-free groups with Dehn function $n^2\log n$
Let $G'_N(\mathcal S)$ be a hub-free realization of an $S$ -machine, where $\mathcal S$ is an $S$ -machine and $N$ is the associated parameter. Rips and Sapir's conjecture. Some grou…
Conjectureopendehn-functions geometric-group-theory s-machinesarXiv posted 2 days ago

Olshanskii–Sapir conjecture on the Dehn function of an S-machine