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Behavior of quasiregular semigroups near attracting fixed points. (English) Zbl 0944.30014
In what follows the group operation is composition. One of the results of the author is the following. For any \(K>1\) there exists a 1-parameter \(K\)-quasiconformal group that cannot be conjugate by a quasiconformal mapping to a Möbius group. The author studies dynamics of a uniformly quasiregular mapping at superattractive fixed points and shows that there are several quasiconformal conjugacy classes as well.

MSC:
30C65 Quasiconformal mappings in \(\mathbb{R}^n\), other generalizations
37F30 Quasiconformal methods and Teichmüller theory, etc. (dynamical systems) (MSC2010)
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