A POLYNOMIAL ISOPERIMETRIC INEQUALITY FOR SL(n,Z)
نویسنده
چکیده
We prove that when n ≥ 5, the Dehn function of SL(n, Z) is at most quartic. The proof involves decomposing a disc in SL(n, R)/ SO(n) into a quadratic number of loops in generalized Siegel sets. By mapping these loops into SL(n, Z) and replacing large elementary matrices by “shortcuts,” we obtain words of a particular form, and we use combinatorial techniques to fill these loops.
منابع مشابه
Some isoperimetric inequalities for kernels of free extensions
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