The groups of motions of some three-dimensional maximal mobility geometries
type: Item
instance of: scholarly article
title: The groups of motions of some three-dimensional maximal mobility geometries
zbMATH Open document ID: 1406.51014
DOI: 10.1134/S0037446618020155
author: R. A. Bogdanova
author: V. A. Kyrov
published in: Siberian Mathematical Journal
publication date: 2018-07-19T00:00:00Z
review text: There are sixteen families of three-dimensional maximal mobility geometries. For eight of them, the authors obtain a description in terms of a quadratic ring extension \(A\) of the real numbers. The group of motions is isomorphic to the group \(\mathrm{SL}_2(A)\) and the point stabilizer is a three-dimensional subgroup which is contained in the point stabilizer of the standard action of \(\mathrm{SL}_2(A)\) on the projective line over \(A\).
reviewed by: Norbert Knarr
Mathematics Subject Classification ID: 51M05
Mathematics Subject Classification ID: 51M10
Mathematics Subject Classification ID: 54H15
Mathematics Subject Classification ID: 57S20
zbMATH DE Number: 6908381
zbMATH Keywords: maximal mobility geometry
zbMATH Keywords: group of motions
zbMATH Keywords: phenomenologically symmetric geometry
MaRDI profile type: Publication
cites work: Q5658847
cites work: Q3314047
cites work: Q3671405
cites work: Q3729194
cites work: Q3018337
cites work: Q5043182
cites work: Q3018406
cites work: Hypercomplex numbers in some geometries of two sets. I
full work available at URL: s0037446618020155
OpenAlex ID: W2799904310
Wikidata QID: Q129933111
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description: scientific article; zbMATH DE number 6908381