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arXiv · 1506.02064

Infinite-dimensional cohomology of SL_2(Z[t, 1/t])

Sarah Cobb
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Abstract

For J an integral domain and F its field of fractions, we construct a map from the 3-skeleton of the classifying space for {\Gamma} = SL_2(J[t,1/t]) to a Euclidean building on which {\Gamma} acts. We then find an infinite family of independent cocycles in the building and lift them to the classifying space, thus proving that the cohomology group H2(SL_2(J[t,1/t]);F) is infinite-dimensional.

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Sarah Cobb. 2015-06-05. Infinite-dimensional cohomology of SL_2(Z[t, 1/t]). https://arxiv.org/abs/1506.02064

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