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Titlebook: New Horizons in pro-p Groups; Marcus Sautoy,Dan Segal,Aner Shalev Book 2000 Springer Science+Business Media New York 2000 Finite.Group the

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發(fā)表于 2025-3-21 19:46:02 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱New Horizons in pro-p Groups
編輯Marcus Sautoy,Dan Segal,Aner Shalev
視頻videohttp://file.papertrans.cn/666/665366/665366.mp4
叢書名稱Progress in Mathematics
圖書封面Titlebook: New Horizons in pro-p Groups;  Marcus Sautoy,Dan Segal,Aner Shalev Book 2000 Springer Science+Business Media New York 2000 Finite.Group the
描述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.
出版日期Book 2000
關(guān)鍵詞Finite; Group theory; Lie; Topology; algebra; algebraic number theory; finite and infinite group theory; fu
版次1
doihttps://doi.org/10.1007/978-1-4612-1380-2
isbn_softcover978-1-4612-7122-2
isbn_ebook978-1-4612-1380-2Series ISSN 0743-1643 Series E-ISSN 2296-505X
issn_series 0743-1643
copyrightSpringer Science+Business Media New York 2000
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