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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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