Finding relative hyperbolic structures | Zendy

Dahmani François | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

Finding relative hyperbolic structures

Author(s) -

Dahmani François

Publication year - 2008

Publication title -

bulletin of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.396

H-Index - 48

eISSN - 1469-2120

pISSN - 0024-6093

DOI - 10.1112/blms/bdn018

Subject(s) - mathematics , abelian group , cayley graph , relatively hyperbolic group , class (philosophy) , graph , pure mathematics , presentation (obstetrics) , constant (computer programming) , hyperbolic group , algebra over a field , discrete mathematics , hyperbolic manifold , mathematical analysis , hyperbolic function , computer science , artificial intelligence , medicine , programming language , radiology

We propose an algorithm that recognizes relatively hyperbolic groups from a compatible relative presentation, and even from an arbitrary finite presentation when the parabolic subgroups are abelian. Moreover, it computes important characteristic features such as the hyperbolicity constant of the coned‐off Cayley graph. This tool allows us to unify solutions to decision problems for individual groups in the class of relatively hyperbolic groups with abelian parabolics, into a unique solution suitable for every group in the class.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research