The classification of the finite simple groups is one of the major
feats of contemporary mathematical research, but its proof has
never been completely extricated from the journal literature in
which it first appeared. This book serves as an introduction to a
series devoted to organizing and simplifying the proof. The purpose
of the series is to present as direct and coherent a proof as is
possible with existing techniques. This first volume, which sets up
the structure for the entire series, begins with largely informal
discussions of the relationship between the Classification Theorem
and the general structure of finite groups, as well as the general
strategy to be followed in the series and a comparison with the
original proof. Also listed are background results from the
literature that will be used in subsequent volumes. Next, the
authors formally present the structure of the proof and the plan
for the series of volumes in the form of two grids, giving the main
case division of the proof as well as the principal milestones in
the analysis of each case. Thumbnail sketches are given of the ten
or so principal methods underlying the proof. Much of the book is
written in an expository style accessible to nonspecialists.
General
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