Some examples in the integral and Brown-Peterson cohomology of p-groups

Details Some examples in the integral and Brown-Peterson cohomology of p-groups Some examples in the integral and Brown-Peterson cohomology of p-groups

2007-11-29

arxiv.org/abs/0711.4832v1

Bull. London Math. Soc. 24 (1992) 165--168

Mathematics

Algebraic Topology

Scientific paper

For each odd prime p, we exhibit p-groups G of p-rank two such that (suitably defined) Chern classes of unitary representations of G fail to generate the following rings: 1. The even degree integral cohomology of G; 2. The final page of the Atiyah-Hirzebruch spectral sequence for G; 3. The Brown-Peterson generalized cohomology of G. It follows that these groups afford counterexamples to conjectures of C. B. Thomas, M. F. Atiyah and P. Landweber.

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