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Author : V. A. Tartakovskiĭ
Publisher : Unknown
Page : 122 pages
File Size : 42,9 Mb
Release : 1952
Category : Group theory
ISBN : CORNELL:31924001088396
Author : V. A. Tartakovskii
Publisher : Unknown
Page : 116 pages
File Size : 44,8 Mb
Release : 1952
Category : Group theory
ISBN : UVA:X001566671
Author : Martin R. Bridson
Publisher : Cambridge University Press
Page : 331 pages
File Size : 48,6 Mb
Release : 2009-10-29
Category : Mathematics
ISBN : 9780521757249
An extended tour through a selection of the most important trends in modern geometric group theory.
Author : Kenneth I. Appel
Publisher : American Mathematical Soc.
Page : 534 pages
File Size : 51,8 Mb
Release : 1984
Category : Mathematics
ISBN : 9780821850350
Contains five short articles about Roger Lyndon and his contributions to mathematics, as well as twenty-seven invited research papers in combinatorial group theory and closely related areas. Several of the articles featured in this work fall into subfields of combinatorial group theory, areas in which much of the initial work was done by Lyndon.
Author : Gilbert Baumslag,Charles F. III Miller
Publisher : Springer Science & Business Media
Page : 235 pages
File Size : 45,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461397304
The papers in this volume are the result of a workshop held in January 1989 at the Mathematical Sciences Research Institute. Topics covered include decision problems, finitely presented simple groups, combinatorial geometry and homology, and automatic groups and related topics.
Author : Wilhelm Magnus,Abraham Karrass,Donald Solitar
Publisher : Courier Corporation
Page : 466 pages
File Size : 55,8 Mb
Release : 2004-01-01
Category : Mathematics
ISBN : 9780486438306
This seminal, much-cited account begins with a fairly elementary exposition of basic concepts and a discussion of factor groups and subgroups. The topics of Nielsen transformations, free and amalgamated products, and commutator calculus receive detailed treatment. The concluding chapter surveys word, conjugacy, and related problems; adjunction and embedding problems; and more. Second, revised 1976 edition.
Author : Benjamin Fine,Delaram Kahrobaei,Gerhard Rosenberger
Publisher : American Mathematical Soc.
Page : 210 pages
File Size : 51,6 Mb
Release : 2012
Category : Computers
ISBN : 9780821875636
This volume contains the proceedings of the AMS Special Session on Computational Algebra, Groups, and Applications, held April 30-May 1, 2011, at the University of Nevada, Las Vegas, Nevada, and the AMS Special Session on the Mathematical Aspects of Cryptography and Cyber Security, held September 10-11, 2011, at Cornell University, Ithaca, New York. Over the past twenty years combinatorial and infinite group theory has been energized by three developments: the emergence of geometric and asymptotic group theory, the development of algebraic geometry over groups leading to the solution of the Tarski problems, and the development of group-based cryptography. These three areas in turn have had an impact on computational algebra and complexity theory. The papers in this volume, both survey and research, exhibit the tremendous vitality that is at the heart of group theory in the beginning of the twenty-first century as well as the diversity of interests in the field.
Author : D.J. Collins
Publisher : Springer Science & Business Media
Page : 252 pages
File Size : 53,7 Mb
Release : 1998-03-17
Category : Mathematics
ISBN : 3540637044
From the reviews: "... The book under review consists of two monographs on geometric aspects of group theory ... Together, these two articles form a wide-ranging survey of combinatorial group theory, with emphasis very much on the geometric roots of the subject. This will be a useful reference work for the expert, as well as providing an overview of the subject for the outsider or novice. Many different topics are described and explored, with the main results presented but not proved. This allows the interested reader to get the flavour of these topics without becoming bogged down in detail. Both articles give comprehensive bibliographies, so that it is possible to use this book as the starting point for a more detailed study of a particular topic of interest. ..." Bulletin of the London Mathematical Society, 1996
Author : B. Chandler,W. Magnus
Publisher : Springer Science & Business Media
Page : 240 pages
File Size : 55,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461394877
One of the pervasive phenomena in the history of science is the development of independent disciplines from the solution or attempted solutions of problems in other areas of science. In the Twentieth Century, the creation of specialties witqin the sciences has accelerated to the point where a large number of scientists in any major branch of science cannot understand the work of a colleague in another subdiscipline of his own science. Despite this fragmentation, the development of techniques or solutions of problems in one area very often contribute fundamentally to solutions of problems in a seemingly unrelated field. Therefore, an examination of this phenomenon of the formation of independent disciplines within the sciences would contrib ute to the understanding of their evolution in modern times. We believe that in this context the history of combinatorial group theory in the late Nineteenth Century and the Twentieth Century can be used effectively as a case study. It is a reasonably well-defined independent specialty, and yet it is closely related to other mathematical disciplines. The fact that combinatorial group theory has, so far, not been influenced by the practical needs of science and technology makes it possible for us to use combinatorial group theory to exhibit the role of the intellectual aspects of the development of mathematics in a clearcut manner. There are other features of combinatorial group theory which appear to make it a reasona ble choice as the object of a historical study.
Author : American Mathematical Society,N. G. Cudakov
Publisher : American Mathematical Soc.
Page : 548 pages
File Size : 41,6 Mb
Release : 1962
Category : Mathematics
ISBN : 0821816020
Author : Emmanuel Breuillard,Hee Oh
Publisher : Cambridge University Press
Page : 375 pages
File Size : 51,6 Mb
Release : 2014-02-17
Category : Mathematics
ISBN : 9781107036857
This collection of survey articles focuses on recent developments at the boundary between geometry, dynamical systems, number theory and combinatorics.
Author : G. R. H. Greaves,G. Harman,M. N. Huxley
Publisher : Cambridge University Press
Page : 360 pages
File Size : 43,9 Mb
Release : 1997-01-30
Category : Mathematics
ISBN : 9780521589574
State-of-the-art analytic number theory proceedings.
Author : Frédérique Bassino,Ilya Kapovich,Markus Lohrey,Alexei Miasnikov,Cyril Nicaud,Andrey Nikolaev,Igor Rivin,Vladimir Shpilrain,Alexander Ushakov,Pascal Weil
Publisher : Walter de Gruyter GmbH & Co KG
Page : 386 pages
File Size : 51,5 Mb
Release : 2020-06-08
Category : Mathematics
ISBN : 9783110667028
This book shows new directions in group theory motivated by computer science. It reflects the transition from geometric group theory to group theory of the 21st century that has strong connections to computer science. Now that geometric group theory is drifting further and further away from group theory to geometry, it is natural to look for new tools and new directions in group theory which are present.
Author : Alina Carmen Cojocaru,M. Ram Murty
Publisher : Cambridge University Press
Page : 250 pages
File Size : 49,8 Mb
Release : 2005-12-08
Category : Mathematics
ISBN : 0521848164
Rather than focus on the technical details which can obscure the beauty of sieve theory, the authors focus on examples and applications, developing the theory in parallel.