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New Horizons in pro-p Groups (Hardcover, 2000 ed.)
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New Horizons in pro-p Groups (Hardcover, 2000 ed.)
Series: Progress in Mathematics, 184
Expected to ship within 10 - 15 working days
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A pro-p group is the inverse limit of some system of finite
p-groups, that is, of groups of prime-power order where the prime -
conventionally denoted p - is fixed. Thus from one point of view,
to study a pro-p group is the same as studying an infinite family
of finite groups; but a pro-p group is also a compact topological
group, and the compactness works its usual magic to bring
'infinite' problems down to manageable proportions. The p-adic
integers appeared about a century ago, but the systematic study of
pro-p groups in general is a fairly recent development. Although
much has been dis covered, many avenues remain to be explored; the
purpose of this book is to present a coherent account of the
considerable achievements of the last several years, and to point
the way forward. Thus our aim is both to stimulate research and to
provide the comprehensive background on which that research must be
based. The chapters cover a wide range. In order to ensure the most
authoritative account, we have arranged for each chapter to be
written by a leading contributor (or contributors) to the topic in
question. Pro-p groups appear in several different, though
sometimes overlapping, contexts."
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