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The Brown-Peterson cohomology of the classifying spaces of the projective unitary groups  and exceptional Lie groups |
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| Authors: | Masaki Kameko Nobuaki Yagita |
| Institution: | Faculty of Regional Science, Toyama University of International Studies, Toyama, Japan ; Faculty of Education, Ibaraki University, Mito, Ibaraki, Japan |
| Abstract: | For a fixed prime  , we compute the Brown-Peterson cohomologies of classifying spaces of  and exceptional Lie groups by using the Adams spectral sequence. In particular, we see that  and  are even dimensionally generated. |
| Keywords: | $BP$-theory $PU(p)$ exceptional Lie groups |
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