On asymptotic dimension of groups

@inproceedings{Dranishnikov2001OnAD,
  title={On asymptotic dimension of groups},
  author={Alexander Dranishnikov},
  year={2001}
}
We prove a version of the countable union theorem for asymptotic dimension and we apply it to groups acting on asymptotically nite dimensional metric spaces. As a consequence we obtain the following nite dimensionality theorems. A) An amalgamated product of asymptotically nite dimensional groups has nite asymptotic dimension: asdimA C B <1. B) Suppose that G0 is an HNN extension of a group G with asdimG < 1. Then asdimG0 <1. C) Suppose that Γ is Davis’ group constructed from a group with asdim… CONTINUE READING
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