Exotic cohomology for 𝐺𝐿_{𝑛}(ℤ[1/2])

Dwyer, W.

doi:10.1090/S0002-9939-98-04279-8

Exotic cohomology for $\operatorname {GL}_{n}(\mathbb {Z}[1/2])$
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Proc. Amer. Math. Soc. 126 (1998), 2159-2167 Request permission

Abstract:

We show that for $n=32$ the mod $2$ group cohomology of $\operatorname {GL}_{n}(\mathbb {Z}[1/2])$ is not detected on diagonal matrices.

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