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Research Article Open access CC BY 4.0

Establishing Equivariant Class [O] for Hyperbolic Groups

Deep Bhattacharjee

Asian Research Journal of Mathematics · pp. 362–369 · Published 31 Oct 2022

10.9734/arjom/2022/v18i11615

Abstract

This paper aims to create a class [O] concerning the groups associated with Gromov hyperbolic groups over correspondence and equivalence through Fuchsian, Kleinian, and Schottky when subject to Laplace – Beltrami in the Teichmüller space where for the hyperbolic 3-manifold when the fundamental groups of Dehn extended to Gromov – any occurrence of Švarc-Milnor lemma satisfies the same class [O] for quotient space and Jørgensen inequality. Thus the relation (and class) extended to Mostow – Prasad Rigidity Theorem in a finite degree isometry concerning the  structure of the commensurator in higher order generalizations suffice through CAT(k) space. The map of the established class [O] is shown at the end of the paper.

Teichmüller Space Dehn Švarc-Milnor Jørgensen Inequality Laplace – Beltrami Lickorish – Wallace Haken Space

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