Group Pseudorepresentations that are Trivial on Normal Subgroups, A.I.Shternстатья
Информация о цитировании статьи получена из
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 12 января 2022 г.
Аннотация:Continuing the study of general group pseudorepresentations, we prove that, if $\pi$is a pseudorepresentation of a group $G$ in a Banach space $E$ with sufficientlysmall defect and if $N$ is a normal subgroup of~$G$ for which $\pi(n)=1|_E$ for all$n\in N$, then there is a pseudorepresentation $\rho$ of the quotient group $G/N$such that the pseudorepresentation $\pi$ is locally equivalent to the pseudorepresentation o10.17777/pjms2021.24.3.269f $G$ defined by the rule $g\mapsto\rho(gN)$, $g\in G$.