The mod p cohomology rings of the nonabelian split metacyclic p-groups
type: Item
instance of: scholarly article
title: The mod p cohomology rings of the nonabelian split metacyclic p-groups
zbMATH Open document ID: 0548.20040
DOI: 10.1007/BF01193778
author: Thomas Diethelm
published in: Archiv der Mathematik
publication date: 1985-01-01T00:00:00Z
review text: Let G be a nonabelian group with split extension \(C_{p^ m}\mapsto G\twoheadrightarrow C_{p^ n}\) and let k denote the field with p elements. We use the associated spectral sequence to compute the cohomology rings \(H^*(G,k)\). There are essentially two classes of cohomology rings depending on the dimension of \(H^ 2(G,k)\). In the case \(p=2\) we need additional spectral sequences to calculate the relations in \(H^*(G,k)\).
Mathematics Subject Classification ID: 20J06
zbMATH DE Number: 3873607
zbMATH Keywords: split extension
zbMATH Keywords: spectral sequence
zbMATH Keywords: cohomology rings
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01193778
OpenAlex ID: W2014019507
description: scientific article; zbMATH DE number 3873607