Many group theorists all over the world have been trying in the
last twenty-five years to extend and adapt the magnificent methods
of the Theory of Finite Soluble Groups to the more ambitious
universe of all finite groups. This is a natural progression after
the classification of finite simple groups but the achievements in
this area are scattered in various papers.
Our objectives in this book were to gather, order and examine
all this material, including the latest advances made, give a new
approach to some classic topics, shed light on some fundamental
facts that still remain unpublished and present some new subjects
of research in the theory of classes of finite, not necessarily
solvable, groups.
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