Cohomology of classifying spaces from the viewpoint of equivariant cohomology of cyclic groups

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Among important notions in topology, there are characteristic classes. Characteristic classes are elements in the cohomology of classifying spaces. So, the study of the cohomology of classifying spaces has been attracting the attention of many mathematicians. In our research project, we attempted to compute the cohomology of classifying spaces. When the cohomology of structure group has torsion, the computation tends to be difficult. We dealt with such groups and computed the cohomology of some spaces related to classifying spaces.