​Nick Gill is a Lecturer in Pure Mathematics at the Open University. Martin Liebeck has been Professor of Pure Mathematics at Imperial College London for over 30 years. He haspublished over 150 research articles and 10 books. His research interests include group theory, combinatorics and computational algebra. He was elected Fellow of the America Mathematical Society in 2019, and was awarded the London Mathematical Society's Polya Prize in 2020. Pablo Spiga is Professor of Mathematics at the University of Milano-Bicocca. His main research interests involve group actions on graphs and other combinatorial structures. His main expertise is within finite primitive groups and their application for investigating symmetries of combinatorial structures.

“This monograph proves an attractive conjecture of G. L. Cherlin on finite permutation groups, motivated by model theory.” (H. Dugald Macpherson, Mathematical Reviews, November, 2023)

• 1. Introduction.- 2. Preliminary Results for Groups of Lie Type.- 3. Exceptional Groups.- 4. Classical Groups.

​Nick Gill is a Lecturer in Pure Mathematics at the Open University. Martin Liebeck has been Professor of Pure Mathematics at Imperial College London for over 30 years. He haspublished over 150 research articles and 10 books. His research interests include group theory, combinatorics and computational algebra. He was elected Fellow of the America Mathematical Society in 2019, and was awarded the London Mathematical Society's Polya Prize in 2020. Pablo Spiga is Professor of Mathematics at the University of Milano-Bicocca. His main research interests involve group actions on graphs and other combinatorial structures. His main expertise is within finite primitive groups and their application for investigating symmetries of combinatorial structures.

“This monograph proves an attractive conjecture of G. L. Cherlin on finite permutation groups, motivated by model theory.” (H. Dugald Macpherson, Mathematical Reviews, November, 2023)

• 1. Introduction.- 2. Preliminary Results for Groups of Lie Type.- 3. Exceptional Groups.- 4. Classical Groups.

​Nick Gill is a Lecturer in Pure Mathematics at the Open University. Martin Liebeck has been Professor of Pure Mathematics at Imperial College London for over 30 years. He haspublished over 150 research articles and 10 books. His research interests include group theory, combinatorics and computational algebra. He was elected Fellow of the America Mathematical Society in 2019, and was awarded the London Mathematical Society's Polya Prize in 2020. Pablo Spiga is Professor of Mathematics at the University of Milano-Bicocca. His main research interests involve group actions on graphs and other combinatorial structures. His main expertise is within finite primitive groups and their application for investigating symmetries of combinatorial structures.

“This monograph proves an attractive conjecture of G. L. Cherlin on finite permutation groups, motivated by model theory.” (H. Dugald Macpherson, Mathematical Reviews, November, 2023)

• 1. Introduction.- 2. Preliminary Results for Groups of Lie Type.- 3. Exceptional Groups.- 4. Classical Groups.