71 citations · 274 across the 45 of their papers we have counts for
9 papers · 1 filter
On dimension of product of groups
Alexander Dranishnikov
We prove that for geometrically finite groups cohomological dimension of the direct product of a group with itself equals 2 times the cohomological dimension dimension of the group…
On the dimension growth of groups
Alexander Dranishnikov, Mark Sapir
Dimension growth functions of groups have been introduced by Gromov in 1999. We prove that every solvable finitely generated subgroups of the R. Thompson group has polynomial d…
Mapping class groups have finite asymptotic dimension
Gregory C. Bell, Alexander Dranishnikov
By recognizing them as fundamental groups of developable complexes of groups we prove that mapping class groups of compact orientable surfaces have finite asymptotic dimension.
On asymptotic dimension of amalgamated products and right-angled Coxeter groups
Alexander Dranishnikov
We prove the inequality $$ \as A\ast_CB\le\max\{\as A,\as B,\as C+1\} $$ and we apply this inequality to show that the asymptotic dimension of any right-angled Coxeter group does n…
Aperiodic colorings and tilings of Coxeter groups
Alexander Dranishnikov, Viktor Schroeder
We construct a limit aperiodic coloring of hyperbolic groups. Also we construct limit strongly aperiodic strictly balanced tilings of the Davis complex for all Coxeter groups.
Asymptotic dimension in Bedlewo
G. Bell, A. Dranishnikov
This survey was compiled from lectures and problem sessions at the International Conference on Geometric Topology at the Mathematical Research and Conference Center in Bedlewo, Pol…