p-Groups are not determined by their integral cohomology groups

dc.creatorLeary, Ian J.
dc.date2007-11-29
dc.date.accessioned2026-07-07T08:46:22Z
dc.date.available2026-07-07T08:46:22Z
dc.descriptionFor each prime p, we exhibit pairs of p-groups all of whose integral cohomology groups are isomorphic. The method used involves very little calculation. The groups are exhibited as kernels of homomorphisms from a compact Lie group G to U(1), and the main result is that kernels of `similar' elements of Hom(G,U(1)) have isomorphic integral cohomology groups. The 2-groups constructed in this version have been corrected (there was a mistake in the presentations given in the published paper).
dc.identifierhttps://arxiv.org/abs/0711.4838
dc.identifierhttp://arxiv.org/abs/0711.4838
dc.identifierBull. London Math. Soc. 27 (1995) 585--589
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143224
dc.subjectAlgebraic Topology
dc.subject20J06
dc.titlep-Groups are not determined by their integral cohomology groups
dc.typetext

Files

Collections