On a formula for the asymptotic dimension of free products
G. C. Bell; A. N. Dranishnikov; J. E. Keesling
Fundamenta Mathematicae (2004)
- Volume: 183, Issue: 1, page 39-45
- ISSN: 0016-2736
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topG. C. Bell, A. N. Dranishnikov, and J. E. Keesling. "On a formula for the asymptotic dimension of free products." Fundamenta Mathematicae 183.1 (2004): 39-45. <http://eudml.org/doc/282954>.
@article{G2004,
abstract = {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.},
author = {G. C. Bell, A. N. Dranishnikov, J. E. Keesling},
journal = {Fundamenta Mathematicae},
keywords = {asymptotic dimension; free products; finitely generated groups; amalgamated products; HNN extensions},
language = {eng},
number = {1},
pages = {39-45},
title = {On a formula for the asymptotic dimension of free products},
url = {http://eudml.org/doc/282954},
volume = {183},
year = {2004},
}
TY - JOUR
AU - G. C. Bell
AU - A. N. Dranishnikov
AU - J. E. Keesling
TI - On a formula for the asymptotic dimension of free products
JO - Fundamenta Mathematicae
PY - 2004
VL - 183
IS - 1
SP - 39
EP - 45
AB - 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.
LA - eng
KW - asymptotic dimension; free products; finitely generated groups; amalgamated products; HNN extensions
UR - http://eudml.org/doc/282954
ER -
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