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arxiv: math/9809166 · v2 · submitted 1998-09-28 · 🧮 math.NT

Finiteness of minimal modular symbols for SL(n)

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keywords modularsymbolsclassicalcohomologyconstructionexhibitfieldfinite
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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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