Result: Structure of coincidence isometry groups

Title:
Structure of coincidence isometry groups
Authors:
Deng Guixin, Zhao Jinxing
Source:
Open Mathematics, Vol 19, Iss 1, Pp 1517-1527 (2021)
Publisher Information:
Walter de Gruyter GmbH, 2021.
Publication Year:
2021
Subject Terms:
Other geometric groups, including crystallographic groups, multiplicative noise, orthogonal subset, 06b05, coincidence isometry group, 20g99, QA1-939, Lattices and convex bodies (number-theoretic aspects), Structure theory of lattices, 01 natural sciences, Mathematics, lattice, 0104 chemical sciences
Document Type:
Academic journal Article
File Description:
application/xml
Language:
English
ISSN:
2391-5455
DOI:
10.1515/math-2021-0096
Access URL:
https://www.degruyter.com/document/doi/10.1515/math-2021-0096/pdf
https://zbmath.org/7517509
https://doi.org/10.1515/math-2021-0096
https://doaj.org/article/2192b46cf0c0443a96cb8550a7849f82
Rights:
CC BY
Accession Number:
edsair.doi.dedup.....75f349b71bd2375d0204dbae4a37cea9
Database:
OpenAIRE

Further Information

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