On a formula for the asymptotic dimension of free products
G. C. Bell ; A. N. Dranishnikov ; J. E. Keesling
Fundamenta Mathematicae, Tome 184 (2004), p. 39-45 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2004-01-01
EUDML-ID : urn:eudml:doc:282954 
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G. C. Bell; A. N. Dranishnikov; J. E. Keesling. On a formula for the asymptotic dimension of free products. Fundamenta Mathematicae, Tome 184 (2004) pp. 39-45. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm183-1-2/