A distinguished subring of the Chow ring and cohomology of $BPG{L}_n$

Abstract

We determine a subring of the Chow ring and the cohomology of $BPG{L}_n$, the classifying space of the projective linear group of degree $n$ over complex numbers, and explain a way in which this computation might play a role in the period-index problem. In addition, we show that the Chow ring of $BPG{L}_n$ is not generated by the Chern classes of linear representations of $PG{L}_n$.

arXiv comment36 pages. TItle changed, Theorem 2 added, Section 2 simplified, with a minor error corrected. Comments are welcome

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