ON THE MOD p COHOMOLOGY OF BPU(p)
نویسندگان
چکیده
We study the mod p cohomology of the classifying space of the projective unitary group PU(p). We first prove that conjectures due to J.F. Adams and Kono and Yagita (1993) about the structure of the mod p cohomology of the classifying space of connected compact Lie groups hold in the case of PU(p). Finally, we prove that the classifying space of the projective unitary group PU(p) is determined by its mod p cohomology as an unstable algebra over the Steenrod algebra for p > 3, completing previous work by Dwyer, Miller and Wilkerson (1992) and Broto and Viruel (1998) for the cases p = 2, 3.
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