We prove that if the Cayley graph of a finitely generated group enjoys the property Lδ then the group is almost convex and has a sub-cubic isoperimetric function.
Elder, Murray  1
@article{10_2140_agt_2004_4_23,
author = {Elder, Murray},
title = {L\ensuremath{\delta} groups are almost convex and have a sub-cubic {Dehn} function},
journal = {Algebraic and Geometric Topology},
pages = {23--29},
year = {2004},
volume = {4},
number = {1},
doi = {10.2140/agt.2004.4.23},
url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2004.4.23/}
}
Elder, Murray. Lδ groups are almost convex and have a sub-cubic Dehn function. Algebraic and Geometric Topology, Tome 4 (2004) no. 1, pp. 23-29. doi: 10.2140/agt.2004.4.23
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