# New Horizons in Pro-p Groups (Progress in Mathematics) ePub download

## by M. D. Sautoy,Daniel Segal,Aryeh Shalev

**Author:**M. D. Sautoy,Daniel Segal,Aryeh Shalev**ISBN:**3764341718**ISBN13:**978-3764341718**ePub:**1251 kb |**FB2:**1142 kb**Language:**English**Category:**Mathematics**Publisher:**Birkhauser Verlag AG (May 2000)**Pages:**440**Rating:**4.9/5**Votes:**907**Format:**txt lrf docx mobi

ABSTRACT: Theoretical background and an implementation of the p-group generation algorithm by Newman and O’Brien are used to provide computational evidence of a new type of periodically repeating patterns in pruned descendant trees of finite p-groups.

ABSTRACT: Theoretical background and an implementation of the p-group generation algorithm by Newman and O’Brien are used to provide computational evidence of a new type of periodically repeating patterns in pruned descendant trees of finite p-groups. Qualitative Assessment and Typology of the Water Resource Used for the Production of Drinking Water in Duékoué, Western Côte d’Ivoire.

ISBN-13: 978-1461271222. ISBN-10: 1461271223 has been added to your Cart.

Progress in Mathematics. Shalev, Aner, 1958- IV. Progress in mathematics (Boston, Mass. p. cm. - (Progress in mathematics ; v. 184). Includes bibliographical references and index. ISBN 978-1-4612-7122-2. CIP. AMS Subject Classifications: llR23, 11S15, 11S20, 20015, 20E6, 20E7, 20E8, 20E18, 20F05, 20FlO, 20F40,20F50,20J05,20M35,22E20. Printed on acid-free paper.

Pro-p groups appear in several different, though sometimes overlapping, contexts.

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. Pro-p groups appear in several different, though sometimes overlapping, contexts.

A pro-p group is the inverse limit of some system of finite p-groups, that is, of groups of prime-power . Series: Progress in Mathematics 184. File: PDF, 3. 2 MB. Читать онлайн.

A pro-p group is the inverse limit of some system of finite p-groups, that is. .Lie Methods in the Theory of pro-p Groups. Bibliographic Information. New Horizons in pro-p Groups. On the Classification of p-groups and pro-p Groups.

Part of the Progress in Mathematics book series (PM, volume 184). du Sautoy . Segal D. (2000) Zeta Functions of Groups. In: du Sautoy . Segal . Shalev A. (eds) New Horizons in pro-p Groups. A zeta function is an analytic function whose analytic properties somehow encapsulate a tremendous amount of arithmetic information.

Marcus du Sautoy, Daniel Segal. Beyond the established theory of p-adic analytic groups, the theory of pro-p groups has seen important advances

Marcus du Sautoy, Daniel Segal. Beyond the established theory of p-adic analytic groups, the theory of pro-p groups has seen important advances. These include the construction of new classes of groups and new applications in number theory.

Marcus du Sautoy has also published a number of academic mathematics books for professionals. Zeta functions of groups and rings, with Luke Woodward. Lecture Notes in Mathematics, 1925, Springer-Verlag 2008. This is a significant publication bringing together for the first time many calculations of zeta functions of groups applying the powerful technique of resolution of singularities from algebraic geometry. The book also proves new results on functional equations and analytic behaviour of these zeta functions.

Daniel Segal (born 1947) is a British mathematician and a Professor of Mathematics at the University of Oxford. He specialises in algebra and group theory. He studied at Peterhouse, Cambridge, before taking a PhD at Queen Mary College, University of London, in 1972, supervised by Bertram Wehrfritz, with a dissertation on group theory entitled Groups of Automorphisms of Infinite Soluble Groups. He is an Emeritus Fellow of All Souls College at Oxford, where he was sub-warden from 2006 to 2008.