The Generalized Dehn Property
Group Theory
2019-09-23 v2
Abstract
The Dehn property for a complex is that every non-trivial disk diagram has spurs or shells. It implies a linear isoperimetric inequality. It has been conjectured that the same is true of a more general property which also allows cutcells. We give counterexamples. La propri\'et\'e Dehn pour un complexe est que chaque diagramme de disque non trivial a des \'eperons ou des shells. Cela implique une in\'egalit\'e isop\'erim\'etrique lin\'eaire. Il a \'et\'e suppos\'e qu'il en \'etait de m\^eme pour une propri\'et\'e plus g\'en\'erale qui autorise \'egalement les cellules de coupe. Nous pr\'esentons des contre-exemples.
Cite
@article{arxiv.1901.03767,
title = {The Generalized Dehn Property},
author = {Owen Baker and Timothy Riley},
journal= {arXiv preprint arXiv:1901.03767},
year = {2019}
}
Comments
to appear in Annales Math\'ematiques du Qu\'ebec