30 citations · 261 across the 45 of their papers we have counts for
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math.GR2015★ 17 cited
New topological methods to solve equations over groups
Anton Klyachko, Andreas Thom
We show that the equation associated with a group word can be solved over a hyperlinear group if its content - that is its augmentation in ${\mathb…
math.GR2015★ 5 cited
Strange divisibility in groups and rings
Anton A. Klyachko, Anna A. Mkrtchyan
We prove a general divisibility theorem that implies, e.g., that, in any group, the number of generating pairs (as well as triples, etc.) is a multiple of the order of the commutat…
math.RA2015★ 2 cited
Balanced factorisations
Anton A. Klyachko, Anton N. Vassilyev
Any rational number can be factored into a product of several rationals whose sum vanishes. This simple but nontrivial fact was suggested as a problem on a maths olympiad for high-…