Certain finite groups as automorphism groups of forms of higher degree
type: Item
instance of: scholarly article
title: Certain finite groups as automorphism groups of forms of higher degree
zbMATH Open document ID: 1110.11014
author: Agnieszka Chlebowicz
published in: Linear Algebra and its Applications
publication date: 2007-02-14T00:00:00Z
review text: The author is interested in automorphism groups of forms of even degree higher than two over ordered fields. In this work for any finite group \(G\) with a central involution the author constructs a form of degree 8 with the orthogonal group isomorphic to \(G\).
reviewed by: Osman Bizim
Mathematics Subject Classification ID: 11E76
zbMATH DE Number: 5126013
zbMATH Keywords: form of higher degree
zbMATH Keywords: \(d\)-independence
zbMATH Keywords: automorphism group
zbMATH Keywords: ordered field
MaRDI profile type: Publication
full work available at URL: j.laa.2006.04.019
OpenAlex ID: W1968743997
cites work: Symmetries of polynomials
cites work: Automorphisms of certain forms of higher degree over ordered fields
cites work: Q4414861
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cites work: Singularities. II: Automorphisms of forms
cites work: Orthogonal groups of nonsingular forms of higher degree
cites work: Q4239691
cites work: Automorphism groups of multilinear maps
cites work: Automorphism and similarity groups of forms determined by the characteristic polynomial
DOI: 10.1016/J.LAA.2006.04.019
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description: scientific article; zbMATH DE number 5126013