On a formula for the asymptotic dimension of free products

• Autorzy: G. C. Bell , A. N. Dranishnikov , J. E. Keesling
• Języki publikacji: EN

Abstrakty

EN

We prove an exact formula for the asymptotic dimension (asdim) of a free product. Our main theorem states that if A and B are finitely generated groups with asdim A = n and asdim B ≤ n, then asdim (A*B) = max n,1.

Kategorie tematyczne

• 20E06: Free products, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations
• 20E08: Groups acting on trees
• 20F69: Asymptotic properties of groups

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2004
• Tom: 183
• Numer: 1
• Strony: 39-45

Daty

wydano

2004

Twórcy

autor

G. C. Bell

• Department of Mathematics, The Pennsylvania State University, University Park, PA 16802, U.S.A.

autor

A. N. Dranishnikov

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

autor

J. E. Keesling

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

Identyfikatory

DOI

10.4064/fm183-1-2