Cohomology of classifying spaces of loop groups and finite Chevalley groups associated with spin groups
classification
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keywords
spingroupgroupschevalleyclassifyingcohomologyfiniteloop
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For n>2, we prove the mod 2 cohomology of the finite Chevalley group Spin_n(F_q) is isomorphic to that of the classifying space of the loop group of the spin group Spin(n).
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