Structure of coincidence isometry groups

Let be a lattice of rank in an -dimensional Euclidean space. We show that the coincidence isometry group of is generated by coincidence reflections if and only if contains an orthogonal subset of order

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Bibliographic Details
Published inOpen mathematics (Warsaw, Poland) Vol. 19; no. 1; pp. 1517 - 1527
Main Authors Deng, Guixin, Zhao, Jinxing
Format Journal Article
LanguageEnglish
Published Warsaw De Gruyter 31.12.2021
De Gruyter Poland
Subjects
06B05
20G99
coincidence isometry group
Euclidean geometry
Euclidean space
lattice
multiplicative noise
orthogonal subset
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Summary:Let be a lattice of rank in an -dimensional Euclidean space. We show that the coincidence isometry group of is generated by coincidence reflections if and only if contains an orthogonal subset of order
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SourceType-Scholarly Journals-1
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ISSN:2391-5455
2391-5455
DOI:10.1515/math-2021-0096