Spread of Almost Simple Classical Groups

Scott Harper is a Heilbronn Research Fellow at the University of Bristol. His main research interest is group theory, having published several papers on the subject. This is his first book. He is particularly interested in simple groups and connections between group theory and combinatorics. Previously, he was a London Mathematical Society Early Career Research Fellow at the University of Padua, and he completed his PhD at the University of Bristol, during which time he was awarded the Cecil King Travel Scholarship from the London Mathematical Society.

“The monograph is essentially dedicated to experts in the field and provides a detailed analysis of the spread of the groups, as part of a wider current research project.” (Enrico Jabara, zbMATH 1510.20001, 2023)“The purposes of the monograph are twofold. Firstly, it provides an introduction to the almost simple classical groups for a broad audience, including graduate students new to the area. Secondly, for the experts in the field, it provides a detailed analysis of the spread of these groups, as part of a wider current research project.” (Stefan Kohl, Mathematical Reviews, May, 2022)

• - Introduction. - Preliminaries. - Shintani Descent. - Fixed Point Ratios. - Orthogonal Groups. - Unitary Groups.