Email this article Specific Properties of One-Dimensional Pseudorepresentations of Groups
- Authors: Shtern A.I.1,2
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Affiliations:
- Department of Mechanics and Mathematics, Lomonosov Moscow State University
- Institute of Systems Research (VNIISI), Russian Academy of Sciences
- Issue: Vol 233, No 5 (2018)
- Pages: 770-776
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/241697
- DOI: https://doi.org/10.1007/s10958-018-3966-y
- ID: 241697
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Abstract
We obtain assertions concerning general properties of one-dimensional (not necessarily bounded) pseudorepresentations of groups. In particular, we obtain a quantitative condition on the numerical defect of a given pseudorepresentation which is sufficient for the pseudorepresentation to be pure, i.e., for the restriction of the given pseudorepresentation to every amenable subgroup be an ordinary character of this subgroup.
About the authors
A. I. Shtern
Department of Mechanics and Mathematics, Lomonosov Moscow State University; Institute of Systems Research (VNIISI), Russian Academy of Sciences
Author for correspondence.
Email: ashtern@member.ams.org
Russian Federation, Moscow; Moscow
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