**Mathematical Surveys and Monographs**

Volume: 40;
344 pp;
Hardcover

MSC: Primary 20;

Print ISBN: 978-0-8218-4069-6

Product Code: SURV/40.7

List Price: $122.00

AMS Member Price: $97.60

MAA member Price: $109.80

**Electronic ISBN: 978-1-4704-4387-0
Product Code: SURV/40.7.E**

List Price: $122.00

AMS Member Price: $97.60

MAA member Price: $109.80

#### You may also like

#### Supplemental Materials

# The Classification of the Finite Simple Groups, Number 7: Part III, Chapters 7–11: The Generic Case, Stages 3b and 4a

Share this page
*Daniel Gorenstein; Richard Lyons; Ronald Solomon*

The classification of finite simple groups is
a landmark result of modern mathematics. The multipart series of
monographs which is being published by the AMS (Volume 40.1–40.7 and
future volumes) represents the culmination of a century-long project
involving the efforts of scores of mathematicians published in
hundreds of journal articles, books, and doctoral theses, totaling an
estimated 15,000 pages. This part 7 of the series is the middle of a
trilogy (Volume 40.5, Volume 40.7, and forthcoming Volume 40.8)
treating the Generic Case, i.e., the identification of the alternating
groups of degree at least 13 and most of the finite simple groups of
Lie type and Lie rank at least 4. Moreover, Volumes 40.4–40.8 of
this series will provide a complete treatment of the simple groups of
odd type, i.e., the alternating groups (with two exceptions) and the
groups of Lie type defined over a finite field of odd order, as well
as some of the sporadic simple groups. In particular, this volume
completes the construction, begun in Volume 40.5, of a collection of
neighboring centralizers of a particularly nice form. All of this is
then applied to complete the identification of the alternating groups
of degree at least 13.

The book is suitable for graduate students and researchers
interested in the theory of finite groups.

#### Readership

Graduate students and researchers interested in the theory of finite groups.