Quasiconformal groups of compact type | Zendy

Petra Bonfert-Taylor | Zendy; Gaven Martin | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Quasiconformal groups of compact type

Author(s) -

Petra Bonfert-Taylor,

Gaven Martin

Publication year - 2005

Publication title -

revista matemática iberoamericana

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.569

H-Index - 52

eISSN - 2235-0616

pISSN - 0213-2230

DOI - 10.4171/rmi/442

Subject(s) - limit set , mathematics , kleinian group , conical surface , type (biology) , group (periodic table) , limit (mathematics) , set (abstract data type) , pure mathematics , conformal map , compact space , convergence (economics) , mathematical analysis , topology (electrical circuits) , geometry , combinatorics , computer science , physics , ecology , biology , programming language , quantum mechanics , economics , economic growth

We establish that a quasiconformal group is of compact type if and only if its limits set is purely conical and find that the limit set of a quasiconformal group of compact type is uniformly perfect. A key tool is the result of Bowditch-Tukia on compact-type convergence groups. These results provide crucial tools for studying the deformations of quasiconformal groups and in establishing isomorphisms between such groups and conformal groups.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research