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arXiv · 2502.19685

Uniqueness theorem for completely non-degenerate B-groups

A. A. Glutsyuk·Yu. S. Ilyashenko
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Abstract

We prove that a completely non-degenerate B-group is uniquely determined by its factor: two such groups with conformally equivalent factors are M\"obius conjugate. A similar property is inherent to the quasi-Fuchsian groups but not to degenerate B-groups. We also study the factor of a B-group as a triple: the main factor, the marked characteristic complex, and a homotopy class of maps of the first to the second one.

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A. A. Glutsyuk, Yu. S. Ilyashenko. 2025-02-27. Uniqueness theorem for completely non-degenerate B-groups. https://arxiv.org/abs/2502.19685

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