Bücher von Michael (California Institute of Technology) Aschbacher

The new field of fusion systems and their classifying spaces lies on the frontier of group theory, representation theory and algebraic topology. This book provides a detailed exposition of the foundational material and surveys the current state of the art, including the key theorems and open problems.

The theory of 3-transposition groups has become an important part of finite simple group theory. This book contains the first complete published proof of Fischer's Theorem on the classification of these groups. Part I is accessible to graduate students in finite groups while Parts II and III are aimed at specialists.

Sporadic Groups provides for the first time a self-contained treatment of the foundations of the theory of sporadic groups accessible to mathematicians with a basic background in finite groups such as in the author's text Finite Group Theory.