On the cohomology and the Chow ring of the classifying space of PGL_p

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We investigate the integral cohomology ring and the Chow ring of the classifying space of the complex projective linear group PGL_p, when p is an odd prime. In particular, we determine its additive structure completely, and we reduce the problem of determing its multiplicative structure to a problem in invariant theory.
I have corrected several typos, added some references, and slightly expanded the introduction

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