Profinite groups are of interest to mathematicians working in a
variety of areas, including number theory, abstract groups, and
analysis. The underlying theory reflects these diverse influences,
with methods drawn from both algebra and topology and with
fascinating connections to field theory. This is the first book to
be dedicated solely to the study of general profinite groups. It
provides a thorough introduction to the subject, designed not only
to convey the basic facts but also to enable readers to enhance
their skills in manipulating profinite groups. The first few
chapters lay the foundations and explain the role of profinite
groups in number theory. Later chapters explore various aspects of
profinite groups in more detail; these contain accessible and lucid
accounts of many major theorems. Prerequisites are kept to a
minimum with the basic topological theory summarized in an
introductory chapter.
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