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

Mathematics – Algebraic Geometry

Scientific paper

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I have corrected several typos, added some references, and slightly expanded the introduction

Scientific paper

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.

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