ON A NOTION OF CLOSENESS OF GROUPS
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AbstractEnlightened by the notion of perturbation of C*-algebras, we introduce, and study briefly in this article, a notion of closeness of groups. We show that if two groups are "close enough" to each other, and one of them has the property that the orders of its elements have a uniform finite upper bound, then these two groups are isomorphic (but in general they are not). We also study groups that are close to abelian groups, as well as an equivalence relation induced by closeness.
All Author(s) ListLeung CW, Ng CK, Wong NC
Journal nameAnnals of Functional Analysis
Year2016
Month2
Day1
Volume Number7
Issue Number1
PublisherTUSI MATHEMATICAL RESEARCH GROUP
Pages24 - 32
ISSN2008-8752
LanguagesEnglish-United Kingdom
Keywordsdiscrete groups; distance between groups; group representations
Web of Science Subject CategoriesMathematics; Mathematics, Applied

Last updated on 2021-20-01 at 01:41