On low degree regular sequences in group cohomology

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dc.creatorJohansson, Mikael
dc.date2006-10-11
dc.date.accessioned2026-07-07T07:28:58Z
dc.date.available2026-07-07T07:28:58Z
dc.descriptionWe investigate small $p$-groups with cohomology rings of depth higher than predicted by Duflot's theorem. In these groups, a sampling would suggest several naive conjectures about the degrees of the additional regular sequence elements. We arrive at counterexamples to the idea that all cohomology rings exceeding Duflot's bound have degree 2 regular sequence elements past Duflot's bound as well as to the idea that regular sequences can be pulled back, preserving degrees, along a field extension.
dc.description3 pages
dc.identifierhttps://arxiv.org/abs/math/0610374
dc.identifierhttp://arxiv.org/abs/math/0610374
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/117928
dc.subjectGroup Theory
dc.subjectCommutative Algebra
dc.subject20J06; 13C15
dc.titleOn low degree regular sequences in group cohomology
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