259 citations
- Landau Institute for Theoretical PhysicsRU4 papers
- Independent University of MoscowRU3 papers
- Astronomical Institute of the Slovak Academy of SciencesSK2 papers
- Centre National de la Recherche ScientifiqueFR2 papers
- National University of SingaporeSG2 papers
- Physico-Technical InstituteRU2 papers
- Schlumberger (United States)US2 papers
- Universidad de ValladolidES2 papers
- University of TwenteNL2 papers
- Aarhus UniversityDK1 paper
- Brazilian Society of Computational and Applied MathematicsBR1 paper
- Centrum Wiskunde & InformaticaNL1 paper
Showing math.GRShow all
2 papers · 1 filter
math.GR2004★ 19 cited
The number of non-solutions to an equation in a group and non-topologizable torsion-free groups
Anton A. Klyachko, Anton V. Trofimov
It is shown that, for any pair of cardinals with infinite sum, there exist a group and an equation over this group such that the first cardinal is the number of solutions to this e…
math.GR2004★ 16 cited
How to generalize known results on equations over groups
Anton A. Klyachko
The known facts about solvability of equations over groups are considered from a more general point of view. A generalized version of the theorem about solvability of unimodular eq…