Synopsis
This volume contains the proofs of Theorems C2 and C3, which constitute the classification of finite simple groups G of special odd type. The special odd condition is introduced as representing the measure of smallness for simple groups which are not of even type. Incorporated into the proof of Theorem C2 are the classifications by Gorenstein-Walther and Alperin-Brauer- Gorenstein, among others, noted as major accomplishments of the 1960s. This treatment employs the Bender Method rather than Signalizer Functor Method. The authors (whose academic affiliations are not given) include background and expository references, and a glossary-cum-index of symbols. Annotation ©2004 Book News, Inc., Portland, OR
Booknews
The second volume of a series devoted to reorganizing and simplifying proof of the classification of the finite simple groups. In a single chapter, it lays the groundwork for the forthcoming analysis of finite simple groups, beginning with the theory of components, layers, and the generalized Fitting subgroup, which has been developed largely since Gorenstein's basic 1968 text and is now central to understanding the structure of finite groups. Suitable as an auxiliary text for a graduate course in group theory. Member prices are $35 for individual and $47 for institutions. Annotation c. Book News, Inc., Portland, OR (booknews.com)