2 papers
math.GR2019
Intersections of subgroups in virtually free groups and virtually free products
Anton A. Klyachko, Anastasia N. Ponfilenko
This note contains a (short) proof of the following generalisation of the Friedman--Mineyev theorem (earlier known as the Hanna Neumann conjecture): if and are nontrivial f…
math.RA2016
Balanced factorisations in some algebras
Anton A. Klyachko, Andrey M. Mazhuga, Anastasia N. Ponfilenko
We prove that, in any field of characteristic not two and not three except the five-element field, each element decomposes into a product of four factors whose sum vanishes. We als…