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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive
Sibirsk. Mat. Zh., 2004 Volume 45, Number 5, Pages 1032–1038 (Mi smj1117)
A uniformly quasiconformal group not isomorphic to a Möbius group

P. V. Doinikov

Omsk State University

Abstract: We explicitly give a group not isomorphic to any group of Möbius transformations of the three-dimensional sphere and acting quasiconformally on the three-dimensional sphere.

Keywords: Möbius group, uniformly quasiconformal group.

UDC: 517.76:515.16.165

Received: 10.12.2003


 English version: Siberian Mathematical Journal, 2004, 45:5, 849–854

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© Steklov Math. Inst. of RAS, 2026