The Dehn Function of PSL(2,Z[1/p])
Group Theory
2007-05-23 v1
Abstract
We show that PSL(2,Z[1/p]) admits a combing with bounded asynchronous width, and use this combing to show that PSL(2,Z[1/p]) has an exponential Dehn function. As a corollary, PSL(2,Z[1/p]) has solvable word problem and is not an automatic group.
Cite
@article{arxiv.math/0302191,
title = {The Dehn Function of PSL(2,Z[1/p])},
author = {Jennifer Taback},
journal= {arXiv preprint arXiv:math/0302191},
year = {2007}
}
Comments
16 pages