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

dc.creatorLeary, Ian J
dc.creatorYagita, Nobuaki
dc.date2007-11-29
dc.date.accessioned2026-07-07T08:46:21Z
dc.date.available2026-07-07T08:46:21Z
dc.descriptionFor 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.
dc.identifierhttps://arxiv.org/abs/0711.4832
dc.identifierhttp://arxiv.org/abs/0711.4832
dc.identifierBull. London Math. Soc. 24 (1992) 165--168
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143221
dc.subjectAlgebraic Topology
dc.subject20J06, 55N20
dc.titleSome examples in the integral and Brown-Peterson cohomology of p-groups
dc.typetext

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