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Hausdorff measure of the singular set of quasiregular maps on Carnot groups. (English) Zbl 1030.22003
It is proved that the \((i-m-1)\)-dimensional Hausdorff measure of the image of the branch set of a quasiregular mapping on the Carnot group is positive (\(i\) is the homogeneous dimension of the Carnot group and \(m\) is the index of the last vector space of the corresponding Lie algebra).
Reviewer: A.Neagu (Iaşi)

MSC:
22E30 Analysis on real and complex Lie groups
30C65 Quasiconformal mappings in \(\mathbb{R}^n\), other generalizations
43A80 Analysis on other specific Lie groups
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