Asymptotic dimension of discrete groups

• Autorzy: A. Dranishnikov , J. Smith
• Języki publikacji: EN

Abstrakty

EN

We extend Gromov's notion of asymptotic dimension of finitely generated groups to all discrete groups. In particular, we extend the Hurewicz type theorem proven in [B-D2] to general groups. Then we use this extension to prove a formula for the asymptotic dimension of finitely generated solvable groups in terms of their Hirsch length.

Kategorie tematyczne

• 20F69: Asymptotic properties of groups

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2006
• Tom: 189
• Numer: 1
• Strony: 27-34

Daty

wydano

2006

Twórcy

autor

A. Dranishnikov

• Department of Mathematics, University of Florida, P.O. 118105, 358 Little Hall, Gainesville, FL 32611-8105, U.S.A.

autor

J. Smith

• Department of Mathematics, University of Florida, P.O. 118105, 358 Little Hall, Gainesville, FL 32611-8105, USA

Identyfikatory

DOI

10.4064/fm189-1-2