Subgroup Growth

Author : Alexander Lubotzky,Dan Segal
Publisher : Birkhäuser
Page : 463 pages
File Size : 45,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034889650

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Subgroup Growth by Alexander Lubotzky,Dan Segal Pdf

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'.

Author : B. Sury
Publisher : Springer
Page : 315 pages
File Size : 55,8 Mb
Release : 2003-01-01
Category : Mathematics
ISBN : 9789386279194

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The Congruence Subgroup Problem - An Elementary Approach Aimed at Applications by B. Sury Pdf

Author : Marcus du Sautoy,Dan Segal,Aner Shalev
Publisher : Springer Science & Business Media
Page : 444 pages
File Size : 41,5 Mb
Release : 2000-05-25
Category : Mathematics
ISBN : 0817641718

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New Horizons in pro-p Groups by Marcus du Sautoy,Dan Segal,Aner Shalev Pdf

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.

Author : Francesco Giovanni,Martin Newell
Publisher : Walter de Gruyter GmbH & Co KG
Page : 356 pages
File Size : 50,6 Mb
Release : 2017-03-06
Category : Mathematics
ISBN : 9783110810387

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Infinite Groups 1994 by Francesco Giovanni,Martin Newell Pdf

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.

Author : Avinoam Mann,Louis H. Rowen,David J. Saltman,Aner Shalev,Lance W. Small,Uzi Vishne
Publisher : American Mathematical Society, Bar-Ilan University
Page : 322 pages
File Size : 42,6 Mb
Release : 2024-05-14
Category : Mathematics
ISBN : 9781470475550

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Amitsur Centennial Symposium by Avinoam Mann,Louis H. Rowen,David J. Saltman,Aner Shalev,Lance W. Small,Uzi Vishne Pdf

This volume contains the proceedings of the Amitsur Centennial Symposium, held from November 1–4, 2021, virtually and at the Israel Institute for Advanced Studies (IIAS), The Hebrew University of Jerusalem, Jerusalem, Israel. Shimshon Amitsur was a pioneer in several branches of algebra, the leading algebraist in Israel for several decades who contributed major theorems, inspiring results, useful observations, and enlightening tricks to many areas of the field. The fifteen papers included in the volume represent the broad impact of Amitsur's work on such areas as the theory of finite simple groups, algebraic groups, PI-algebras and growth of rings, quadratic forms and division algebras, torsors and Severi-Brauer surfaces, Hopf algebras and braces, invariants, automorphisms and derivations.

Author : Antal Balog,Domokos Szasz,András Recski,Gyula O.H. Katona
Publisher : Birkhäuser
Page : 412 pages
File Size : 44,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034888981

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European Congress of Mathematics by Antal Balog,Domokos Szasz,András Recski,Gyula O.H. Katona Pdf

This is the second volume of the procedings of the second European Congress of Mathematics. Volume I presents the speeches delivered at the Congress, the list of lectures, and short summaries of the achievements of the prize winners. Together with volume II it contains a collection of contributions by the invited lecturers. Finally, volume II also presents reports on some of the Round Table discussions. This two-volume set thus gives an overview of the state of the art in many fields of mathematics and is therefore of interest to every professional mathematician. Contributors: Vol. I: N. Alon, L. Ambrosio, K. Astala, R. Benedetti, Ch. Bessenrodt, F. Bethuel, P. Bjørstad, E. Bolthausen, J. Bricmont, A. Kupiainen, D. Burago, L. Caporaso, U. Dierkes, I. Dynnikov, L.H. Eliasson, W.T. Gowers, H. Hedenmalm, A. Huber, J. Kaczorowski, J. Kollár, D.O. Kramkov, A.N. Shiryaev, C. Lescop, R. März. Vol. II: J. Matousek, D. McDuff, A.S. Merkurjev, V. Milman, St. Müller, T. Nowicki, E. Olivieri, E. Scoppola, V.P. Platonov, J. Pöschel, L. Polterovich , L. Pyber, N. Simányi, J.P. Solovej, A. Stipsicz, G. Tardos, J.-P. Tignol, A.P. Veselov, E. Zuazua.

Author : Yuri Tschinkel
Publisher : Universitätsverlag Göttingen
Page : 200 pages
File Size : 48,6 Mb
Release : 2004
Category : Electronic
ISBN : 9783930457700

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Mathematisches Institut Georg-august-universität Göttingen, Seminars Summer Term 2004 by Yuri Tschinkel Pdf

This volume contains lecture notes from the seminars [alpha]Number Theory", [alpha]Algebraic Geometry" and [alpha]Geometric methods in representation theory" which took place at the Mathematics Institute of the University of Göttingen during the Summer Term 2004. Most contributions report on recent work by the authors.

Author : Pierre de la Harpe
Publisher : University of Chicago Press
Page : 348 pages
File Size : 54,9 Mb
Release : 2000-09-15
Category : Mathematics
ISBN : 0226317218

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Topics in Geometric Group Theory by Pierre de la Harpe Pdf

In this book, Pierre de la Harpe provides a concise and engaging introduction to geometric group theory, a new method for studying infinite groups via their intrinsic geometry that has played a major role in mathematics over the past two decades. A recognized expert in the field, de la Harpe adopts a hands-on approach, illustrating key concepts with numerous concrete examples. The first five chapters present basic combinatorial and geometric group theory in a unique and refreshing way, with an emphasis on finitely generated versus finitely presented groups. In the final three chapters, de la Harpe discusses new material on the growth of groups, including a detailed treatment of the "Grigorchuk group." Most sections are followed by exercises and a list of problems and complements, enhancing the book's value for students; problems range from slightly more difficult exercises to open research problems in the field. An extensive list of references directs readers to more advanced results as well as connections with other fields.

Author : Library of Congress,Library of Congress. Office for Subject Cataloging Policy
Publisher : Unknown
Page : 1736 pages
File Size : 49,7 Mb
Release : 2010
Category : Subject headings
ISBN : STANFORD:36105129104332

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Library of Congress Subject Headings by Library of Congress,Library of Congress. Office for Subject Cataloging Policy Pdf

Author : L.G. Kovacs
Publisher : Springer
Page : 209 pages
File Size : 50,8 Mb
Release : 2006-12-08
Category : Mathematics
ISBN : 9783540469001

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Groups - Canberra 1989 by L.G. Kovacs Pdf

Author : Stephen D. Smith
Publisher : American Mathematical Soc.
Page : 231 pages
File Size : 41,5 Mb
Release : 2018-04-30
Category : Finite simple groups
ISBN : 9781470442910

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Applying the Classification of Finite Simple Groups: A User’s Guide by Stephen D. Smith Pdf

Classification of Finite Simple Groups (CFSG) is a major project involving work by hundreds of researchers. The work was largely completed by about 1983, although final publication of the “quasithin” part was delayed until 2004. Since the 1980s, CFSG has had a huge influence on work in finite group theory and in many adjacent fields of mathematics. This book attempts to survey and sample a number of such topics from the very large and increasingly active research area of applications of CFSG. The book is based on the author's lectures at the September 2015 Venice Summer School on Finite Groups. With about 50 exercises from original lectures, it can serve as a second-year graduate course for students who have had first-year graduate algebra. It may be of particular interest to students looking for a dissertation topic around group theory. It can also be useful as an introduction and basic reference; in addition, it indicates fuller citations to the appropriate literature for readers who wish to go on to more detailed sources.

Author : S. G. Dani,Gopal Prasad
Publisher : Narosa Publishing House
Page : 590 pages
File Size : 41,9 Mb
Release : 2004
Category : Computers
ISBN : UOM:39015061867969

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Algebraic Groups and Arithmetic by S. G. Dani,Gopal Prasad Pdf

Major advances have been made in recent decades in algebraic groups and arithmetic. The School of Mathematics of the Tata Institute of Fundamental Research, under the leadership of Professor M. S. Raghunathan, has been a significant contributor to this progress. This collection of papers grew out of a conference held in honor of Professor Raghunathan's sixtieth birthday. The volume contains original papers contributed by leading experts. Topics covered include group-theoretic aspects, Diophantine approximation, modular forms, representation theory, interactions with topology and geometry, and dynamics on homogeneous spaces. Particularly noteworthy are two expository articles on Professor Raghunathan's work by the late Armand Borel and Gopal Prasad. The book is suitable for graduate students and researchers interested in algebra and algebraic geometry.

Author : Kossuth Lajos Tudományegyetem. Matematikai Intézet
Publisher : Unknown
Page : 542 pages
File Size : 42,9 Mb
Release : 2006
Category : Mathematics
ISBN : UCBK:C078326133

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Publicationes mathematicae by Kossuth Lajos Tudományegyetem. Matematikai Intézet Pdf

Author : Anonim
Publisher : Unknown
Page : 602 pages
File Size : 51,5 Mb
Release : 2004
Category : Mathematics
ISBN : UOM:39076002447931

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Bulletin (new Series) of the American Mathematical Society by Anonim Pdf

Author : Anonim
Publisher : Unknown
Page : 860 pages
File Size : 50,8 Mb
Release : 2006
Category : Mathematics
ISBN : UOM:39015067268279

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Mathematical Reviews by Anonim Pdf