6 citations · 6 across the 5 of their papers we have counts for
6 papers
A non-nilpotent localization of a finite p-group
Sergei O. Ivanov, Georgii Kadantsev
We give negative answers to two questions of Farjoun about localizations of groups. For every odd prime , we construct a finite -group , an infinite non-nilpotent group $H…
Ring-induced localizations of nilpotent groups
Sergei O. Ivanov, Georgii Kadantsev, Aleksandr Krasilnikov
For a commutative ring , we study the -localization functor on the category of groups, defined as localization with respect to the homomorphism . Our main re…
The discrete homotopy hypothesis for directed graphs
Briony Eldridge, Sergei O. Ivanov, Xiaomeng Xu +2
We develop a homotopy theory of directed graphs based on cubical homotopy groups, also known as -groups or reduced GLMY homotopy groups. Localizing the category of directed grap…
Bousfield-Kan completion as a codensity -monad
Emmanuel Dror Farjoun, Sergei O. Ivanov
Working in the setting of -categories, we develop a general theory of the codensity monad associated with a full subcategory $\mathcal{D}\subseteq \mathcal{…
Mod-2 (co)homology of an abelian group
Sergei O. Ivanov, Anatolii Zaikovskii
It is known that for a prime there is the following natural description of the homology algebra of an abelian group and fo…
Stable Calabi--Yau dimension of self-injective algebras of finite type
S. O. Ivanov, Y. V. Volkov
We give an equivalent definition of the stable Calabi--Yau dimension in terms of bimodule syzygies and so-called stably inner automorphisms. Using it, we complete the computation o…