30 citations · 261 across the 45 of their papers we have counts for
45 papers
Solvability of unimodular equations in groups and Lie algebras
Anton A. Klyachko, Mikhail A. Mikheenko, Alexander Yu. Olshanskii
Our results implies, in particular, that a finitely generated solvable group is nilpotent if and only if it contains a solution to any unimodular equation, i.e., an equation of…
Invariant covers of multipartite hypergraphs
Anton A. Klyachko, Mikhail S. Terekhov
We prove the following ``symmetric analogue'' of Lovász's estimate (1975): if an -partite hypergraph of rank has a cover of cardinality , then it admits…
Equationally separable classes of groups
Alexander Buturlakin, Anton Klyachko, Denis Osin
Over each nontrivial finite group , there exists a finite system of equations having no solutions in larger finite groups but having a solution in a periodic group containing $G…
Forester's lattices and small non-Leighton complexes
Natalia S. Dergacheva, Anton A. Klyachko
We construct two CW-complexes and admitting a common, but not finite common, covering, where is homeomorphic to a complex with a single 2-cell.
Finite symmetric groups are strongly verbally closed
Olga K. Karimova, Anton A. Klyachko
Answering a question of A. V. Vasil'ev, we show that each finite symmetric (or alternating) group is a retract of any group containing as a verbally closed subgroup.
Tiny non-Leighton complexes
Natalia S. Dergacheva, Anton A. Klyachko
How complex must two finite 2-complexes be to admit a common, but not finite common, covering? We obtain an almost answer: the minimum possible number of triangles in a pseudo-simp…