cOver the past 20 years, the theory of groups -- in particular
simple groups, finite and algebraic -- has influenced a number of
diverse areas of mathematics. Such areas include topics where
groups have been traditionally applied, such as algebraic
combinatorics, finite geometries, Galois theory and permutation
groups, as well as several more recent developments. Among the
latter are probabilistic and computational group theory, the theory
of algebraic groups over number fields, and model theory, in each
of which there has been a major recent impetus provided by simple
group theory. In addition, there is still great interest in local
analysis in finite groups, with substantial new input from methods
of geometry and amalgams, and particular emphasis on the revision
project for the classification of finite simple groups.
This important book contains 20 survey articles covering many of
the above developments. It should prove invaluable for those
working in the theory of groups and its applications.
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