Some group theory problems

TL;DR

This paper surveys various open problems in geometric group theory across different areas, providing definitions, motivations, and historical context for each problem.

Contribution

It compiles and discusses a range of unresolved problems in geometric group theory, including attributions and background information.

Findings

Identifies key open problems in geometric group theory.

Provides historical context and attributions for each problem.

Serves as a resource for researchers interested in unresolved questions.

Abstract

This is a survey of some problems in geometric group theory which I find interesting. The problems are from different areas of group theory. Each section is devoted to problems in one area. It contains an introduction where I give some necessary definitions and motivations, problems and some discussions of them. For each problem, I try to mention the author. If the author is not given, the problem, to the best of my knowledge, was formulated by me first.