Automorphism groups of relatively free groups of infinite rank: a survey
V. Roman'kov

TL;DR
This survey reviews various properties of automorphism groups of relatively free groups of infinite rank, including tameness, primitivity, and the Bergman property, summarizing key theoretical insights.
Contribution
It provides a comprehensive overview of automorphism group properties for relatively free groups of infinite rank, highlighting recent developments and open problems.
Findings
Analysis of tameness and primitivity in automorphism groups
Discussion of the small index property and Bergman property
Summary of open questions and future research directions
Abstract
The paper is intended to be a survey on some topics within the framework of automorphisms of a relatively free groups of infinite rank. We discuss such properties as tameness, primitivity, small index, Bergman property, and so on.
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Taxonomy
TopicsGeometric and Algebraic Topology · Advanced Operator Algebra Research · Finite Group Theory Research
