The contribution of L. G. Kov\'acs to the theory of permutation groups

TL;DR

This paper reviews L. G. Kovács's significant contributions to permutation group theory, particularly his work on the O'Nan--Scott classification of primitive groups, enhancing understanding of their structure.

Contribution

It highlights Kovács's novel insights into the structure of primitive permutation groups within the O'Nan--Scott framework.

Findings

Deepened understanding of primitive permutation groups

Advanced the classification within the O'Nan--Scott theory

Provided foundational results for further research

Abstract

The work of L. G. (Laci) Kov\'acs (1936--2013) gave us a deeper understanding of permutation groups, especially in the O'Nan--Scott theory of primitive groups. We review his contribution to this field.