Subgroup Growth

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Subgroup Growth

Author : Alexander Lubotzky
Publisher : Birkhäuser
ISBN 13 : 3034889658
Total Pages : 463 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Subgroup Growth by : Alexander Lubotzky

Download or read book Subgroup Growth written by Alexander Lubotzky and published by Birkhäuser. This book was released on 2012-12-06 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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'.

The Congruence Subgroup Problem - An Elementary Approach Aimed at Applications

Author : B. Sury
Publisher : Springer
ISBN 13 : 9386279193
Total Pages : 315 pages
Book Rating : 4.3/5 (862 download)

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Book Synopsis The Congruence Subgroup Problem - An Elementary Approach Aimed at Applications by : B. Sury

Download or read book The Congruence Subgroup Problem - An Elementary Approach Aimed at Applications written by B. Sury and published by Springer. This book was released on 2003-01-01 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt:

New Horizons in pro-p Groups

Author : Marcus du Sautoy
Publisher : Springer Science & Business Media
ISBN 13 : 9780817641719
Total Pages : 444 pages
Book Rating : 4.6/5 (417 download)

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Book Synopsis New Horizons in pro-p Groups by : Marcus du Sautoy

Download or read book New Horizons in pro-p Groups written by Marcus du Sautoy and published by Springer Science & Business Media. This book was released on 2000-05-25 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Infinite Groups 1994

Author : Francesco Giovanni
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110810387
Total Pages : 356 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Infinite Groups 1994 by : Francesco Giovanni

Download or read book Infinite Groups 1994 written by Francesco Giovanni and published by Walter de Gruyter GmbH & Co KG. This book was released on 2017-03-06 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Amitsur Centennial Symposium

Author : Avinoam Mann
Publisher : American Mathematical Society, Bar-Ilan University
ISBN 13 : 1470475553
Total Pages : 322 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Amitsur Centennial Symposium by : Avinoam Mann

Download or read book Amitsur Centennial Symposium written by Avinoam Mann and published by American Mathematical Society, Bar-Ilan University. This book was released on 2024-05-14 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Topics in Geometric Group Theory

Author : Pierre de la Harpe
Publisher : University of Chicago Press
ISBN 13 : 9780226317212
Total Pages : 348 pages
Book Rating : 4.3/5 (172 download)

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Book Synopsis Topics in Geometric Group Theory by : Pierre de la Harpe

Download or read book Topics in Geometric Group Theory written by Pierre de la Harpe and published by University of Chicago Press. This book was released on 2000-09-15 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

European Congress of Mathematics

Author : Antal Balog
Publisher : Birkhäuser
ISBN 13 : 3034888988
Total Pages : 412 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis European Congress of Mathematics by : Antal Balog

Download or read book European Congress of Mathematics written by Antal Balog and published by Birkhäuser. This book was released on 2012-12-06 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematisches Institut Georg-august-universität Göttingen, Seminars Summer Term 2004

Author : Yuri Tschinkel
Publisher : Universitätsverlag Göttingen
ISBN 13 : 3930457709
Total Pages : 200 pages
Book Rating : 4.9/5 (34 download)

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Book Synopsis Mathematisches Institut Georg-august-universität Göttingen, Seminars Summer Term 2004 by : Yuri Tschinkel

Download or read book Mathematisches Institut Georg-august-universität Göttingen, Seminars Summer Term 2004 written by Yuri Tschinkel and published by Universitätsverlag Göttingen. This book was released on 2004 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Groups - Canberra 1989

Author : L.G. Kovacs
Publisher : Springer
ISBN 13 : 3540469001
Total Pages : 209 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Groups - Canberra 1989 by : L.G. Kovacs

Download or read book Groups - Canberra 1989 written by L.G. Kovacs and published by Springer. This book was released on 2006-12-08 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Library of Congress Subject Headings

Author : Library of Congress
Publisher :
ISBN 13 :
Total Pages : 1736 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Library of Congress Subject Headings by : Library of Congress

Download or read book Library of Congress Subject Headings written by Library of Congress and published by . This book was released on 2010 with total page 1736 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applying the Classification of Finite Simple Groups: A User’s Guide

Author : Stephen D. Smith
Publisher : American Mathematical Soc.
ISBN 13 : 1470442914
Total Pages : 231 pages
Book Rating : 4.4/5 (74 download)

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

Download or read book Applying the Classification of Finite Simple Groups: A User’s Guide written by Stephen D. Smith and published by American Mathematical Soc.. This book was released on 2018-04-30 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Algebraic Groups and Arithmetic

Author : S. G. Dani
Publisher : Narosa Publishing House
ISBN 13 :
Total Pages : 590 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Algebraic Groups and Arithmetic by : S. G. Dani

Download or read book Algebraic Groups and Arithmetic written by S. G. Dani and published by Narosa Publishing House. This book was released on 2004 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Bulletin (new Series) of the American Mathematical Society

Author :
Publisher :
ISBN 13 :
Total Pages : 602 pages
Book Rating : 4.3/5 (97 download)

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Book Synopsis Bulletin (new Series) of the American Mathematical Society by :

Download or read book Bulletin (new Series) of the American Mathematical Society written by and published by . This book was released on 2004 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Proceedings of the Minnesota Academy of Science

Author : Minnesota Academy of Science (1932- ). Meeting
Publisher :
ISBN 13 :
Total Pages : 814 pages
Book Rating : 4.:/5 (3 download)

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Book Synopsis Proceedings of the Minnesota Academy of Science by : Minnesota Academy of Science (1932- ). Meeting

Download or read book Proceedings of the Minnesota Academy of Science written by Minnesota Academy of Science (1932- ). Meeting and published by . This book was released on 1943 with total page 814 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Publicationes mathematicae

Author : Kossuth Lajos Tudományegyetem. Matematikai Intézet
Publisher :
ISBN 13 :
Total Pages : 542 pages
Book Rating : 4.:/5 (7 download)

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Book Synopsis Publicationes mathematicae by : Kossuth Lajos Tudományegyetem. Matematikai Intézet

Download or read book Publicationes mathematicae written by Kossuth Lajos Tudományegyetem. Matematikai Intézet and published by . This book was released on 2006 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 776 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2007 with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Subgroup Structure of the Finite Classical Groups

Author : Peter B. Kleidman
Publisher : Cambridge University Press
ISBN 13 : 052135949X
Total Pages : 317 pages
Book Rating : 4.5/5 (213 download)

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Book Synopsis The Subgroup Structure of the Finite Classical Groups by : Peter B. Kleidman

Download or read book The Subgroup Structure of the Finite Classical Groups written by Peter B. Kleidman and published by Cambridge University Press. This book was released on 1990-04-26 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the classification of the finite simple groups complete, much work has gone into the study of maximal subgroups of almost simple groups. In this volume the authors investigate the maximal subgroups of the finite classical groups and present research into these groups as well as proving many new results. In particular, the authors develop a unified treatment of the theory of the 'geometric subgroups' of the classical groups, introduced by Aschbacher, and they answer the questions of maximality and conjugacy and obtain the precise shapes of these groups. Both authors are experts in the field and the book will be of considerable value not only to group theorists, but also to combinatorialists and geometers interested in these techniques and results. Graduate students will find it a very readable introduction to the topic and it will bring them to the very forefront of research in group theory.