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Finiteness of minimal modular symbols for SL(n)

Paul E. Gunnells

math.NTarXiv:math/9809166

Abstract

Let K be a number field with ring of integers O, and let G be a finite-index subgroup of SL(n,O). Using a classical construction from the geometry of numbers and the theory of modular symbols, we exhibit a finite spanning set for the highest nonvanishing rational cohomology group of G.

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