3 papers
math.GR2026
Dimension quotients as boundary limits: the general case
Roman Mikhailov
We identify, functorially, the boundary limit of a simply defined presentation functor with the dimension quotient, both for groups and for Lie rings over integers.
math.RA2026
The Parafree Conjecture for associative algebras
Vasily Ionin, Roman Mikhailov
For every base field, we construct a finitely generated parafree augmented associative algebra with countably infinite-dimensional second homology. This disproves the analogue of t…
math.GT2026
Two results on asphericity
Roman Mikhailov
We construct an explicit finite chain of non-aspherical group presentation complexes in which is Cockcroft…