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A CHARACTERIZATION OF COCOMPACT HYPERBOLIC AND FINITE-VOLUME HYPERBOLIC GROUPS IN DIMENSION-3
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UNSPECIFIED (1992) A CHARACTERIZATION OF COCOMPACT HYPERBOLIC AND FINITE-VOLUME HYPERBOLIC GROUPS IN DIMENSION-3. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 330 (1). pp. 419-431. ISSN 0002-9947.
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Abstract
We show that a cocompact hyperbolic group in dimension 3 is characterized by certain properties of its word metric which depend only on the group structure and not on any action on hyperbolic space. We prove a similar theorem for finite-volume hyperbolic groups in dimension 3.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | ||||
Publisher: | AMER MATHEMATICAL SOC | ||||
ISSN: | 0002-9947 | ||||
Official Date: | March 1992 | ||||
Dates: |
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Volume: | 330 | ||||
Number: | 1 | ||||
Number of Pages: | 13 | ||||
Page Range: | pp. 419-431 | ||||
Publication Status: | Published |
Data sourced from Thomson Reuters' Web of Knowledge
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