Exponential higher dimensional isoperimetric inequalities for some arithmetic groups

Details Exponential higher dimensional isoperimetric inequalities for some arithmetic groups Exponential higher dimensional isoperimetric inequalities for some arithmetic groups

2009-12-10

arxiv.org/abs/0912.2124v3

Mathematics

Group Theory

16 pages

Scientific paper

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.

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