13 citations · 73 across the 40 of their papers we have counts for
57 papers
Finite Chains of Two-Complexes and Acyclic Covers
Laurent Bartholdi, Roman Mikhailov
A negative answer to Whitehead's asphericity problem would follow from an infinite chain of two-complexes, starting with a non-aspherical one, in which every inclusion induces the…
Every countable group embeds in a group of type
Laurent Bartholdi, Roman Mikhailov
For every integer , we prove that every countable group embeds in a group of type . We also construct a group of type containing a copy of ever…
On symmetric and twisted-unitary modular units in group rings
Laurent Bartholdi, Iuliya Beloshapka, Roman Mikhailov
We study units in group rings of the Hantzsche-Wendt group. We construct a compatible system of non-trivial unitary units over for every , and ``alm…
Limits via relations
Sergei O. Ivanov, Roman Mikhailov, Fedor Pavutnitskiy
In this paper, we study operations on functors in the category of abelian groups simplar to the derivation in the sense of Dold-Puppe. They are defined as derived limits of a funct…
The Topology of Poker
Laurent Bartholdi, Roman Mikhailov
We examine the complexity of the ``Texas Hold'em'' variant of poker from a topological perspective. We show that there exists a natural simplicial complex governing the multi-way w…
HR-length of a free group via polynomial functors
Sergei O. Ivanov, Roman Mikhailov
We prove that for a subring and a free group of rank at least the length of the Bousfield's -localization tower for is at least . The ke…