Supersolubility and Finitary Groups

Preface to the New Edition

Abstract

Acknowledgements

Notation and Conventions

Introduction

1. Finitary Permutation Groups
2. Finitary Linear Groups
3. Generalised Solubility Conditions

Local Systems of Locally Supersoluble Groups

1. Local Structure
2. Monomiality
3. Modulo the Hirsch-Plotkin Radical

Varietal Properties and Rank Restrictions

1. Prüfer Rank and Varieties
2. Generalisations of Platonov’s Theorems
3. Classification of Simple Locally Finite Finitary Groups
4. Irreducible and Transitive Finitary Groups

Irreducible and Transitive Locally Supersoluble Groups

1. Results
2. Some General Remarks
3. Appendix

Height

1. Paraheight
2. Weak Paraheight
3. The Lambda Series

Generalised Engel Elements

1. Engel Theory
2. Definitions of S-Engel Elements
3. The S-Engel Structure of Finite Groups
4. S-Engel Structure in Finitely Generated Linear Groups
5. S-Engel Structure of Certain Finitary Skew Linear Groups

Bibliography