An introduction to hyperlinear and sofic groups
Vladimir G. Pestov, Aleksandra Kwiatkowska

TL;DR
This paper provides an introductory overview of hyperlinear and sofic groups, discussing their definitions, properties, and significance within set theory and group theory, based on lecture notes from a workshop.
Contribution
It offers an accessible introduction and synthesis of hyperlinear and sofic groups, complementing previous surveys and serving as educational material for researchers and students.
Findings
Summarizes key concepts of hyperlinear and sofic groups.
Highlights their relevance in set theory and group theory.
Provides educational insights through lecture notes.
Abstract
This is an edited write-up of lecture notes of the 7-th Appalachian set theory workshop of the same title led by the first named author at the Cornell University on November 22, 2008. A draft version of the notes was prepared by the second named author. This presentation is largely complementary to the earlier survey by the first-named author (Hyperlinear and sofic groups: a brief guide, Bull. Symb. Logic 14 (2008), pp. 449-480; arXiv:0804.3968v8 [math.GR]).
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Taxonomy
TopicsAdvanced Algebra and Logic · Rings, Modules, and Algebras · Advanced Topology and Set Theory
