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math.GR2020★ 6 cited
On uniform Hilbert Schmidt stability of groups
Danil Akhtiamov, Alon Dogon
A group is said to be uniformly HS stable if any map that is almost a unitary representation (w.r.t. the Hilbert Schmidt norm) is close to a genuine unitary repr…
math.GR2019★ 4 cited
Right exact localizations of groups
Danil Akhtiamov, Sergei O. Ivanov, Fedor Pavutnitskiy
We introduce several classes of localizations (idempotent monads) on the category of groups and study their properties and relations. The most interesting class for us is the class…