Borel's stable range for the cohomology of arithmetic groups
classification
🧮 math.GR
math.NT
keywords
borelrangearithmeticcohomologygroupsnotestableaction
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In this note, we remark on the range in Borel's theorem on the stable cohomology of the arithmetic groups Sp(2n,Z) and SO(n,n;Z). This improves the range stated in Borel's original papers, an improvement that was known to Borel. Our main task is a technical computation involving the Weyl group action on roots and weights. This note originally appeared as the appendix to arXiv:1711.03139.
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