Exponential higher dimensional isoperimetric inequalities for some arithmetic groups
Group Theory
2010-02-10 v3
Abstract
We show that arithmetic subgroups of semisimple groups of relative Q-type A_n, B_n, C_n, D_n, E_6, or E_7 have an exponential lower bound to their isoperimetric inequality in the dimension that is 1 less than the real rank of the semisimple group.
Cite
@article{arxiv.0912.2124,
title = {Exponential higher dimensional isoperimetric inequalities for some arithmetic groups},
author = {Kevin Wortman},
journal= {arXiv preprint arXiv:0912.2124},
year = {2010}
}
Comments
16 pages