Maximality of the hypercube group
type: Item
instance of: scholarly article
title: Maximality of the hypercube group
zbMATH Open document ID: 0964.20025
author: Stanislaus Maier-Paape
published in: Rocky Mountain Journal of Mathematics
publication date: 2001-04-04T00:00:00Z
full work available at URL: CONT29-4.html
review text: It is proved that the hypercube group \(B_n\) is maximal in the orthogonal group \(O(n)\) as a closed subgroup when \(n=3\) or \(n\geq 5\). When \(n=4\), all closed intermediate groups are described. The result can be used in equivariant bifurcation theory.
reviewed by: L. N. Vaserstein
Mathematics Subject Classification ID: 20G20
Mathematics Subject Classification ID: 20E28
Mathematics Subject Classification ID: 20E07
zbMATH DE Number: 1455478
zbMATH Keywords: hypercube groups
zbMATH Keywords: orthogonal groups
zbMATH Keywords: maximal subgroups
MaRDI profile type: Publication
OpenAlex ID: W1974276181
cites work: Q3704110
cites work: Singularities and groups in bifurcation theory. Volume II
cites work: Q3998721
cites work: Symmetry-breaking at non-positive solutions of semilinear elliptic equations
cites work: Q4865436
cites work: On neumann problems for semilinear elliptic equations with critical nonlinearity:existance and symmetry of multi—peaked solutions1
DOI: 10.1216/RMJM/1181070415
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description: scientific article; zbMATH DE number 1455478