213 citations
- University of California, Santa BarbaraUS4 papers
- Bar-Ilan UniversityIL3 papers
- University of California, Los AngelesUS3 papers
- Brookhaven National LaboratoryUS2 papers
- California Institute of TechnologyUS2 papers
- Cornell UniversityUS2 papers
- Harvard UniversityUS2 papers
- Leiden UniversityNL2 papers
- Los Alamos National LaboratoryUS2 papers
- Louisiana State UniversityUS2 papers
- Massachusetts Institute of TechnologyUS2 papers
- Rice UniversityUS2 papers
5 papers · 1 filter
On asymptotic dimension of countable abelian groups
J. Smith
We compute the asymptotic dimension of the rationals given with an invariant proper metric. Also, we show that a countable torsion abelian group taken with an invariant proper metr…
Decompositions of Small Tensor Powers and Larsen's Conjecture
Robert M. Guralnick, Pham Huu Tiep
We classify all pairs (G,V) with G a closed subgroup in a classical group with natural module V over the complex numbers such that G has the same composition factors on the kth ten…
A Hurewicz-type theorem for asymptotic dimension and applications to geometric group theory
G. C. Bell, A. N. Dranishnikov
We prove an asymptotic analog of the classical Hurewicz theorem on mappings which lower dimension. This theorem allows us to find sharp upper bound estimates for the asymptotic dim…
Embedding of Coxeter groups in a product of trees
Alexander Dranishnikov, Viktor Schroeder
We prove that a right angled Coxeter group with chromatic number n can be embedded in a bilipschitz way into the product of n locally finite trees. We give applications of this res…
How close are pth powers in the Nottingham group?
Kevin Keating
Let F be a field of characteristic p > 0 and let g, h be elements of the Nottingham group N(F) such that g has depth k and gh^{-1} has depth n >= k. We find the best possible lower…