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Finiteness of isometry groups of self-similar sets in $R^{3}$

Haocong Song
South China University of Technology, Guangzhou, P. R. China
- zbMATH
- MR
Ying Xiong
South China University of Technology, Guangzhou, P. R. China
- zbMATH
- MR

$Finiteness of isometry groups of self-similar sets in $\mathbb{R}^{3}$ cover$

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Abstract

This paper establishes that the isometry group of a self-similar set in $R^{3}$ is finite, unless the set is contained in a line.

Cite this article

Haocong Song, Ying Xiong, Finiteness of isometry groups of self-similar sets in $R^{3}$ . J. Fractal Geom. (2026), published online first

DOI 10.4171/JFG/189