We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Characters of solvable groups, Hilbert–Schmidt stability and dense periodic measures.
- Authors
Levit, Arie; Vigdorovich, Itamar
- Abstract
We study the character theory of metabelian and polycyclic groups. It is used to investigate Hilbert–Schmidt stability via the character-theoretic criterion of Hadwin and Shulman. There is a close connection between stability and dynamics of automorphisms of compact abelian groups. Relying on this, we deduce that finitely generated virtually nilpotent groups, free metabelian groups, lamplighter groups as well as upper triangular groups over certain rings of algebraic integers are Hilbert–Schmidt stable.
- Subjects
SOLVABLE groups; RING theory; ABELIAN groups; RINGS of integers; COMPACT groups; DIFFERENCE equations; NILPOTENT groups; FREE groups
- Publication
Mathematische Annalen, 2024, Vol 389, Issue 3, p3181
- ISSN
0025-5831
- Publication type
Article
- DOI
10.1007/s00208-023-02718-3