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The dimension of the boundary of the Lévy dragon.

Duvall, P.; Keesling, J. — 1997

International Journal of Mathematics and Mathematical Sciences

On a formula for the asymptotic dimension of free products

G. C. Bell; A. N. Dranishnikov; J. E. Keesling — 2004

Fundamenta Mathematicae

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.

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