Hölder Conditions for Endomorphisms of Hyperbolic Groups

• Type: Article in International Scientific Journal
• Date: 2016

Authors

Pedro V. Silva (Author) FCUP; Vítor Araújo (Author) Other

Journal

Title: Communications in Algebra

Vol. 44 No. 6

Pages: 4483-4503

ISSN: 0092-7872

Publisher: Taylor & Francis

Indexing

ISI Web of Knowledge - 3 Citations

Scopus - 3 Citations

Other information

Authenticus ID: P-00K-KN8

DOI: 10.1080/00927872.2015.1094480

Abstract (EN): It is proved that an endomorphism ¿ of a hyperbolic group G satisfies a Hölder condition with respect to a visual metric if and only if ¿ is virtually injective and G¿ is a quasiconvex subgroup of G. If G is virtually free or torsion-free co-hopfian, then ¿ is uniformly continuous if and only if it satisfies a Hölder condition if and only if it is virtually injective. © 2016, Copyright © Taylor & Francis Group, LLC.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 21