Characters of diagonal products and Hilbert-Schmidt stability

Autor:	Dogon, Alon, Levit, Arie, Vigdorovich, Itamar
Rok vydání:	2024
Předmět:	Mathematics - Group Theory 20B07 20C07 20C32 20H20 47C15 20C15
Druh dokumentu:	Working Paper
Popis:	We study the character theory of diagonal products as well as alternating and elementary enrichments of groups. Our motivation is to show Hilbert-Schmidt stability for various diagonal products, including the classical family of B. H. Neumann groups. Additionally, we initiate a quantitative study of Hilbert-Schmidt stability for infinitely presented groups, through the notion of stability radius growth, and exhibit an uncountable family of Hilbert-Schmidt stable amenable groups with arbitrarily large such growth. Some applications to local Hilbert-Schmidt stability are also provided. Comment: 42 pages; includes a table of contents
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2407.11608 Zobrazit plný text záznamu View this record from Arxiv