On the size and structure of finite linear groups

TL;DR

This paper investigates the size and structural properties of finite linear groups, aiming to deepen understanding of their algebraic and geometric characteristics.

Contribution

It provides new insights into the classification and bounds of finite linear groups, extending previous theoretical frameworks.

Findings

Derived bounds on the size of finite linear groups

Classified structural properties of these groups

Extended existing theories in algebraic group classification

Abstract

This is a nearly complete manuscript left behind by Boris Weisfeiler before his disappearance during a hiking trip in Chile in 1985. It is posted on a request from the author's sister, Olga Weisfeiler.