SPECIAL LECTURE SERIES

**Professor Ronald Solomon**

**Ohio State University**

will deliver a special series of lectures on

**THE CLASSIFICATION OF THE FINITE SIMPLE GROUPS**

Lectures will be held in Room 232, Amado Mathematics Building, Technion.

Light refreshments will be served in Room 820 before the lectures.

*Although the lectures will be independent of each
other, Lecture I will be helpful for a clearer understanding of the lectures that follow.*

Lecture I: Tuesday, March 16, 1999 at 15:30

**FOUR FUNDAMENTAL FACTS (ABOUT FINITE GROUPS)**

This lecture is devoted to four fundamental facts about architecture (Fitting), counting (Brauer), linear action (Hall-Higman) and “levity” (Thompson), which provide the basic principles on which the Classification of finite simple groups is constructed.

Lecture II: Wednesday, March 17, 1999 at 15:30

THE SHAPE OF THE CLASSIFICATION

The overall flowchart of the Classification proof will be discussed, emphasizing the fundamental divisions into even/odd and special generic. If time permits, the question: “Why are there so few sporadic groups” will be addressed.

Lecture III:
Sunday, March 21, 1999 at 15:30

**HOW TO CLASSIFY GROUPS OF CHARACTERISTIC p TYPE**

This lecture will be devoted to factorization methods, and their relationship to the identification of simple groups of Characteristic p type from their parabolic structure, as developed in recent work of Aschbacher/Smith and Meierfrankenfeld/ Stellmacher/Stroth.

Lecture IV: Monday, March 22 1999 at 15:30

**HOW TO CLASSIFY GROUPS WITH LARGE TORI**

This lecture will show how the methods of Gorenstein and Walter dovetail with the Curtis-Tits Theorem to yield the classification of simple groups with sufficiently many “semisimple elements” (generic simple groups).