Transfer map and Hochschild-Serre spectral sequences
type: Item
instance of: scholarly article
title: Transfer map and Hochschild-Serre spectral sequences
zbMATH Open document ID: 0839.20067
DOI: 10.1016/0022-4049(94)00123-Z
author: Pham Anh Minh
published in: Journal of Pure and Applied Algebra
publication date: 1996-03-17T00:00:00Z
review text: Let \(G\) be a \(p\)-group with Frattini subgroup \(Z\) of order \(p\). For every maximal subgroup \(K\) of \(G\), the author studies the map on the \(E_\infty\)-term of the Hochschild-Serre spectral sequence (for the central extensions of \(K/Z\) respectively \(G/Z\) by \(Z\)) induced by the transfer map from \(H^* (K; Z_p)\) to \(H^* (G; Z_p)\). The results are applied to get some \(\text{mod-}p\) cohomology classes of extra-special \(p\)-groups.
Mathematics Subject Classification ID: 20J06
Mathematics Subject Classification ID: 20D15
Mathematics Subject Classification ID: 18G40
zbMATH DE Number: 825327
zbMATH Keywords: cohomology rings
zbMATH Keywords: Frattini subgroup
zbMATH Keywords: maximal subgroups
zbMATH Keywords: Hochschild-Serre spectral sequence
zbMATH Keywords: central extensions
zbMATH Keywords: transfer map
zbMATH Keywords: extra-special \(p\)-groups
reviewed by: Peter Teichner
MaRDI profile type: Publication
cites work: Cohomology of Group Extensions
cites work: Q4017452
cites work: Modular invariant theory and cohomology algebras of extra-special p- groups
cites work: The mod p cohomology algebra of the group \(M(p^ n)\)
cites work: Q5587110
full work available at URL: 0022-4049(94)00123-z
OpenAlex ID: W2006657781
description: scientific article; zbMATH DE number 825327