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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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