Exponential higher dimensional isoperimetric inequalities for some arithmetic groups
classification
🧮 math.GR
keywords
arithmeticexponentialgroupsisoperimetricsemisimplebounddimensiondimensional
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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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