We prove reconstruction results for finite sets of points in the Euclidean space R n that are given up to the action of groups of isometries that contain all translations and for which the origin has a finite stabilizer.
Isometry Dimension of Finite Groups
✍ Scribed by Manish M. Patnaik
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 94 KB
- Volume
- 246
- Category
- Article
- ISSN
- 0021-8693
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✦ Synopsis
We show that the isometry dimension of a finite group G is equal to the dimension of a minimal-dimensional faithful real representation of G. Using this result, we answer several questions of Albertson and Boutin [J. Algebra 225 (2000), 947-955 .
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