The shift action on 2-cocycles.
type: Item
instance of: scholarly article
title: The shift action on 2-cocycles.
zbMATH Open document ID: 1043.20026
published in: Journal of Pure and Applied Algebra
publication date: 2004-03-14T00:00:00Z
review text: This paper is a very interesting one at least for the applications concerning representation theory, combinatorial design and quantum dynamics. Introducing shift actions from a group \(G\) on the group of 2-cocycles from \(G \) to an Abelian group \(C\), there are obtained stronger equivalence relations than does cohomology. In the last section there is also given a very nice application to digital signal design.
reviewed by: Viorel Mihai Gontineac
Mathematics Subject Classification ID: 20J06
Mathematics Subject Classification ID: 20B25
Mathematics Subject Classification ID: 94A60
zbMATH DE Number: 2056249
zbMATH Keywords: actions on sets
zbMATH Keywords: 2-cocycles
zbMATH Keywords: group extensions
zbMATH Keywords: representation theory
zbMATH Keywords: shift actions
zbMATH Keywords: groups of automorphisms
zbMATH Keywords: fixed points
zbMATH Keywords: orbits
zbMATH Keywords: stabilisers
zbMATH Keywords: coboundaries
zbMATH Keywords: differentially uniform cocycles
author: Kathy Horadam
MaRDI profile type: Publication
full work available at URL: j.jpaa.2003.10.014
OpenAlex ID: W2035626394
cites work: Q4320289
cites work: Proof of the prime power conjecture for projective planes of order \(n\) with abelian collineation groups of order \(n^2\)
cites work: Q3708977
cites work: Q4365754
cites work: Calculation of cocyclic matrices
cites work: Cocyclic Hadamard matrices and Hadamard groups are equivalent
cites work: Equivalence classes of central semiregular relative difference sets
cites work: Cocyclic Hadamard codes
cites work: A new construction of central relative \((p^a,p^a,p^a,1)\)-difference sets
cites work: Applied finite group actions.
cites work: Planar functions from \(\mathbb{Z}_n\) to \(\mathbb{Z}_n\)
cites work: Q4895029
cites work: Perfect nonlinear S-boxes
cites work: Q4934708
cites work: Cocyclic generalised Hadamard matrices and central relative difference sets
DOI: 10.1016/J.JPAA.2003.10.014
description: scientific article; zbMATH DE number 2056249