Subgroup Growth

Subgroup Growth
Title Subgroup Growth PDF eBook
Author Alexander Lubotzky
Publisher Birkhäuser
Pages 463
Release 2012-12-06
Genre Mathematics
ISBN 3034889658

Download Subgroup Growth Book in PDF, Epub and Kindle

Award-winning monograph of the Ferran Sunyer i Balaguer Prize 2001. Subgroup growth studies the distribution of subgroups of finite index in a group as a function of the index. In the last two decades this topic has developed into one of the most active areas of research in infinite group theory; this book is a systematic and comprehensive account of the substantial theory which has emerged. As well as determining the range of possible 'growth types', for finitely generated groups in general and for groups in particular classes such as linear groups, a main focus of the book is on the tight connection between the subgroup growth of a group and its algebraic structure. A wide range of mathematical disciplines play a significant role in this work: as well as various aspects of infinite group theory, these include finite simple groups and permutation groups, profinite groups, arithmetic groups and Strong Approximation, algebraic and analytic number theory, probability, and p-adic model theory. Relevant aspects of such topics are explained in self-contained 'windows'.

Groups, Combinatorics & Geometry

Groups, Combinatorics & Geometry
Title Groups, Combinatorics & Geometry PDF eBook
Author A. A. Ivanov
Publisher World Scientific
Pages 347
Release 2003
Genre Mathematics
ISBN 9812383123

Download Groups, Combinatorics & Geometry Book in PDF, Epub and Kindle

"This book contains the proceedings of the L.M.S. Durham Symposium on Groups, Geometry and Combinatorics, July 16-26, 2001"--P. v.

New Horizons in pro-p Groups

New Horizons in pro-p Groups
Title New Horizons in pro-p Groups PDF eBook
Author Marcus du Sautoy
Publisher Springer Science & Business Media
Pages 434
Release 2012-12-06
Genre Mathematics
ISBN 1461213800

Download New Horizons in pro-p Groups Book in PDF, Epub and Kindle

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.

Dirichlet Forms and Stochastic Processes

Dirichlet Forms and Stochastic Processes
Title Dirichlet Forms and Stochastic Processes PDF eBook
Author Zhi-Ming Ma
Publisher Walter de Gruyter
Pages 362
Release 1995
Genre Mathematics
ISBN 9783110142846

Download Dirichlet Forms and Stochastic Processes Book in PDF, Epub and Kindle

The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.

Groups '93 Galway [and] St. Andrews

Groups '93 Galway [and] St. Andrews
Title Groups '93 Galway [and] St. Andrews PDF eBook
Author T. C. Hurley
Publisher Cambridge University Press
Pages 321
Release 1995
Genre Group theory
ISBN 0521477506

Download Groups '93 Galway [and] St. Andrews Book in PDF, Epub and Kindle

This two-volume book contains selected papers from the international conference 'Groups 1993 Galway / St Andrews' which was held at University College Galway in August 1993. The wealth and diversity of group theory is represented in these two volumes. As with the Proceedings of the earlier 'Groups-St Andrews' conferences it is hoped that the articles in these Proceedings will, with their many references, prove valuable both to experienced researchers and also to new postgraduates interested in group theory.

Proceedings of the International Congress of Mathematicians

Proceedings of the International Congress of Mathematicians
Title Proceedings of the International Congress of Mathematicians PDF eBook
Author S.D. Chatterji
Publisher Birkhäuser
Pages 1669
Release 2012-12-06
Genre Mathematics
ISBN 3034890788

Download Proceedings of the International Congress of Mathematicians Book in PDF, Epub and Kindle

Since the first ICM was held in Zürich in 1897, it has become the pinnacle of mathematical gatherings. It aims at giving an overview of the current state of different branches of mathematics and its applications as well as an insight into the treatment of special problems of exceptional importance. The proceedings of the ICMs have provided a rich chronology of mathematical development in all its branches and a unique documentation of contemporary research. They form an indispensable part of every mathematical library. The Proceedings of the International Congress of Mathematicians 1994, held in Zürich from August 3rd to 11th, 1994, are published in two volumes. Volume I contains an account of the organization of the Congress, the list of ordinary members, the reports on the work of the Fields Medalists and the Nevanlinna Prize Winner, the plenary one-hour addresses, and the invited addresses presented at Section Meetings 1 - 6. Volume II contains the invited address for Section Meetings 7 - 19. A complete author index is included in both volumes. '...the content of these impressive two volumes sheds a certain light on the present state of mathematical sciences and anybody doing research in mathematics should look carefully at these Proceedings. For young people beginning research, this is even more important, so these are a must for any serious mathematics library. The graphical presentation is, as always with Birkhäuser, excellent....' (Revue Roumaine de Mathematiques pures et Appliquées)

Lectures on Profinite Topics in Group Theory

Lectures on Profinite Topics in Group Theory
Title Lectures on Profinite Topics in Group Theory PDF eBook
Author Benjamin Klopsch
Publisher Cambridge University Press
Pages 175
Release 2011-02-10
Genre Mathematics
ISBN 1139495658

Download Lectures on Profinite Topics in Group Theory Book in PDF, Epub and Kindle

In this book, three authors introduce readers to strong approximation methods, analytic pro-p groups and zeta functions of groups. Each chapter illustrates connections between infinite group theory, number theory and Lie theory. The first introduces the theory of compact p-adic Lie groups. The second explains how methods from linear algebraic groups can be utilised to study the finite images of linear groups. The final chapter provides an overview of zeta functions associated to groups and rings. Derived from an LMS/EPSRC Short Course for graduate students, this book provides a concise introduction to a very active research area and assumes less prior knowledge than existing monographs or original research articles. Accessible to beginning graduate students in group theory, it will also appeal to researchers interested in infinite group theory and its interface with Lie theory and number theory.