Strong approximation methods in group theory, an LMS/EPSRC Short course lecture notes

TL;DR

This paper provides lecture notes on strong approximation methods in linear groups, offering an educational overview of theoretical techniques used in modern group theory research.

Contribution

It compiles and explains key strong approximation techniques in linear groups, serving as a comprehensive educational resource.

Findings

Summarizes core strong approximation results

Provides detailed proofs and examples

Serves as a foundational resource for researchers

Abstract

These are the lecture notes for the LMS/EPSRC short course on strong approximation methods in linear groups organized by Dan Segal in Oxford in September 2007.