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Segal, Dan (EDT)/ Sautoy, Marcus Du/ Shalev, Aner (EDT) 作者

Springer Verlag

译者

2000-5 出版日期

439 页数

$ 224.87 价格

HRD

Progress in Mathematics 丛书系列

9780817641719 图书编码

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New Horizons in Pro-p Groups 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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The impetus for current research in pro-p groups comes from four main directions: from new applications in number theory, which continue to be a source of deep and challenging problems; from the traditional problem of classifying finite p-groups; from questions arising in infinite group theory; and finally, from the younger subject of 'profinite group theory'. A correspondingly diverse range of mathematical techniques is being successfully applied, leading to new results and pointing to exciting new directions of research. In this work important theoretical developments are carefully presented by leading mathematicians in the field, bringing the reader to the cutting edge of current research. With a systematic emphasis on the construction and examination of many classes of examples, the book presents a clear picture of the rich universe of pro-p groups, in its unity and diversity. Thirty open problems are discussed in the appendix. For graduate students and researchers in group theory, number theory, and algebra, this work will be an indispensable reference text and a rich source of promising avenues for further exploration.

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