New Horizons in pro-p Groups / Edition 1 by Marcus du Sautoy | 9780817641719 | Hardcover | Barnes & Noble
New Horizons in pro-p Groups / Edition 1

New Horizons in pro-p Groups / Edition 1

by Marcus du Sautoy
     
 

ISBN-10: 0817641718

ISBN-13: 9780817641719

Pub. Date: 06/01/2000

Publisher: Birkhauser Verlag

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

Overview

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.

Product Details

ISBN-13:
9780817641719
Publisher:
Birkhauser Verlag
Publication date:
06/01/2000
Series:
Progress in Mathematics Series, #184
Edition description:
2000
Pages:
426
Product dimensions:
9.21(w) x 6.14(h) x 1.00(d)

Related Subjects

Table of Contents

1. Lie Methods in the Theory of pro-p Groups.- 2. On the Classification of p-groups and pro-p Groups.- 3. Pro-p Trees and Applications.- 4. Just Infinite Branch Groups.- 5. On Just Infinite Abstract and Profinite Groups.- 6. The Nottingham Group.- 7. On Groups Satisfying the Golod—Shafarevich Condition.- 8. Subgroup Growth in pro-p Groups.- 9. Zeta Functions of Groups.- 10. Where the Wild Things are: Ramification Groups and the Nottingham Group.- 11. p-adic Galois Representations and pro-p Galois Groups.- 12. Cohomology of p-adic Analytic Groups.- Appendix: Further Problems.

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