New horizons in pro-p groups /

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...

Full description

Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Du Sautoy, Marcus, Segal, Daniel, 1947-, Shalev, Aner, 1958-
Format: eBook
Language:English
Published: Boston : Birkhäuser, [2000]
Series:Progress in mathematics (Boston, Mass.) ; v. 184.
Subjects:
Online Access:Connect to the full text of this electronic book
Description
Summary: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.
Item Description:Electronic resource.
Physical Description:1 online resource (xiii, 423 pages) : illustrations.
Format:Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Bibliography:Includes bibliographical references and index.
ISBN:9781461213802 (electronic bk.)
1461213800 (electronic bk.)