30 citations · 261 across the 45 of their papers we have counts for
Showing 2012 · math.GRShow all
3 papers · 2 filters
math.GR2012★ 1 cited
Commutators cannot be proper powers in metric small-cancellation torsion-free groups
Elizaveta Frenkel, Anton A. Klyachko
A nontrivial commutator cannot be a proper power in a torsion-free group satisfying C'(λ) small cancellation condition with sufficiently small λ.
math.GR2012★ 30 cited
On topologizable and non-topologizable groups
A. A. Klyachko, A. Yu. Olshanskii, D. V. Osin
A group is called hereditarily non-topologizable if, for every , no quotient of admits a non-discrete Hausdorff topology. We construct first examples of infinite he…
math.GR2012★ 10 cited
How many tuples of group elements have a given property?
Anton A. Klyachko, Anna A. Mkrtchyan
Generalising Solomon's theorem, C. Gordon and F. Rodriguez-Villegas have proven recently that, in any group, the number of solutions to a system of coefficient-free equations is di…