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Author : Eugene F. Krause
Publisher :
ISBN 13 :
Total Pages : 210 pages
Book Rating : 4.:/5 (89 download)
Download or read book On the Restricted Burnside Problem and Theorems Like Sanov's written by Eugene F. Krause and published by . This book was released on 1963 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michael Vaughan-Lee
Publisher : Oxford University Press, USA
ISBN 13 :
Total Pages : 232 pages
Book Rating : 4.3/5 (91 download)
Download or read book The Restricted Burnside Problem written by Michael Vaughan-Lee and published by Oxford University Press, USA. This book was released on 1990 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1902, William Burnside wrote: "A still undecided point in the theory of discontinuous groups is whether the order of a group many not be finite while the order of every operation it contains is finite." Since then, the Burnside problem, in different guises, has inspired a considerable amount of research. One variant of the Burnside problem, the restricted Burnside problem, asks whether (for a given r and n) there is a bound on the orders of finite r-generator groups of exponent n. This book provides the first comprehensive account of the many recent results in this area. By making extensive use of Lie ring techniques it allows a uniform treatment of the field and includes Kostrikin's theorem for groups of prime exponent as well as detailed information on groups of small (3,4,5,6,7,8,9) exponent. The treatment is intended to be self-contained and as such will be an invaluable introduction for postgraduate students and research workers. Included are extensive details of the use of computer algebra to verify computations.
Author : A.I. Kostrikin
Publisher : Springer Science & Business Media
ISBN 13 : 3662028697
Total Pages : 210 pages
Book Rating : 4.6/5 (62 download)
Download or read book Algebra IV written by A.I. Kostrikin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: Group theory is one of the most fundamental branches of mathematics. This highly accessible volume of the Encyclopaedia is devoted to two important subjects within this theory. Extremely useful to all mathematicians, physicists and other scientists, including graduate students who use group theory in their work.
Author : Ricardo Beckwith Quintana
Publisher :
ISBN 13 :
Total Pages : 232 pages
Book Rating : 4.:/5 (89 download)
Download or read book On Groups of Exponent Four written by Ricardo Beckwith Quintana and published by . This book was released on 1970 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 274 pages
Book Rating : 4.F/5 ( download)
Download or read book American Doctoral Dissertations written by and published by . This book was released on 1964 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alexander V. Mikhalev
Publisher : Springer Science & Business Media
ISBN 13 : 9401732671
Total Pages : 629 pages
Book Rating : 4.4/5 (17 download)
Download or read book The Concise Handbook of Algebra written by Alexander V. Mikhalev and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 629 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is by no means clear what comprises the "heart" or "core" of algebra, the part of algebra which every algebraist should know. Hence we feel that a book on "our heart" might be useful. We have tried to catch this heart in a collection of about 150 short sections, written by leading algebraists in these areas. These sections are organized in 9 chapters A, B, . . . , I. Of course, the selection is partly based on personal preferences, and we ask you for your understanding if some selections do not meet your taste (for unknown reasons, we only had problems in the chapter "Groups" to get enough articles in time). We hope that this book sets up a standard of what all algebraists are supposed to know in "their" chapters; interested people from other areas should be able to get a quick idea about the area. So the target group consists of anyone interested in algebra, from graduate students to established researchers, including those who want to obtain a quick overview or a better understanding of our selected topics. The prerequisites are something like the contents of standard textbooks on higher algebra. This book should also enable the reader to read the "big" Handbook (Hazewinkel 1999-) and other handbooks. In case of multiple authors, the authors are listed alphabetically; so their order has nothing to do with the amounts of their contributions.
Author : William Burnside
Publisher :
ISBN 13 : 9780198505860
Total Pages : 818 pages
Book Rating : 4.5/5 (58 download)
Download or read book The Collected Papers of William Burnside: Commentary on Burnside's life and work ; Papers 1883-1899 written by William Burnside and published by . This book was released on 2004 with total page 818 pages. Available in PDF, EPUB and Kindle. Book excerpt: William Burnside was one of the three most important algebraists who were involved in the transformation of group theory from its nineteenth-century origins to a deep twentieth-century subject. Building on work of earlier mathematicians, they were able to develop sophisticated tools for solving difficult problems. All of Burnside's papers are reproduced here, organized chronologically and with a detailed bibliography. Walter Feit has contributed a foreword, and a collection of introductory essays are included to provide a commentary on Burnside's work and set it in perspective along with a modern biography that draws on archive material.
Author : John Richard Peyton
Publisher :
ISBN 13 :
Total Pages : 70 pages
Book Rating : 4.:/5 (249 download)
Download or read book The Restricted Burnside Problem for Prime Exponent written by John Richard Peyton and published by . This book was released on 1973 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 654 pages
Book Rating : 4.3/5 (91 download)
Download or read book Algebras, Groups, and Geometries written by and published by . This book was released on 1985 with total page 654 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 970 pages
Book Rating : 4.3/5 (91 download)
Download or read book Dissertation Abstracts written by and published by . This book was released on 1963-11 with total page 970 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Evgenii I. Khukhro
Publisher : Walter de Gruyter
ISBN 13 : 3110846217
Total Pages : 269 pages
Book Rating : 4.1/5 (18 download)
Download or read book Nilpotent Groups and their Automorphisms written by Evgenii I. Khukhro and published by Walter de Gruyter. This book was released on 2011-04-20 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany
Author : American Mathematical Society
Publisher :
ISBN 13 :
Total Pages : 1004 pages
Book Rating : 4.:/5 (36 download)
Download or read book Notices of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1964 with total page 1004 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Marshall Hall
Publisher : Courier Dover Publications
ISBN 13 : 0486816907
Total Pages : 451 pages
Book Rating : 4.4/5 (868 download)
Download or read book The Theory of Groups written by Marshall Hall and published by Courier Dover Publications. This book was released on 2018-02-15 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 1959 text offers an unsurpassed resource for learning and reviewing the basics of a fundamental and ever-expanding area. "This remarkable book undoubtedly will become a standard text on group theory." — American Scientist.
Author : B. Huppert
Publisher : Springer Science & Business Media
ISBN 13 : 3642679943
Total Pages : 545 pages
Book Rating : 4.6/5 (426 download)
Download or read book Finite Groups II written by B. Huppert and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: 17):~t? L It CIFDr- ! wei! unsre Weisheit Einfalt ist, From "Lohengrin", Richard Wagner At the time of the appearance of the first volume of this work in 1967, the tempestuous development of finite group theory had already made it virtually impossible to give a complete presentation of the subject in one treatise. The present volume and its successor have therefore the more modest aim of giving descriptions of the recent development of certain important parts of the subject, and even in these parts no attempt at completeness has been made. Chapter VII deals with the representation theory of finite groups in arbitrary fields with particular attention to those of non-zero charac teristic. That part of modular representation theory which is essentially the block theory of complex characters has not been included, as there are already monographs on this subject and others will shortly appear. Instead, we have restricted ourselves to such results as can be obtained by purely module-theoretical means.
Author : Derek J.S. Robinson
Publisher : Springer Science & Business Media
ISBN 13 : 1468401289
Total Pages : 498 pages
Book Rating : 4.4/5 (684 download)
Download or read book A Course in the Theory of Groups written by Derek J.S. Robinson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: " A group is defined by means of the laws of combinations of its symbols," according to a celebrated dictum of Cayley. And this is probably still as good a one-line explanation as any. The concept of a group is surely one of the central ideas of mathematics. Certainly there are a few branches of that science in which groups are not employed implicitly or explicitly. Nor is the use of groups confined to pure mathematics. Quantum theory, molecular and atomic structure, and crystallography are just a few of the areas of science in which the idea of a group as a measure of symmetry has played an important part. The theory of groups is the oldest branch of modern algebra. Its origins are to be found in the work of Joseph Louis Lagrange (1736-1813), Paulo Ruffini (1765-1822), and Evariste Galois (1811-1832) on the theory of algebraic equations. Their groups consisted of permutations of the variables or of the roots of polynomials, and indeed for much of the nineteenth century all groups were finite permutation groups. Nevertheless many of the fundamental ideas of group theory were introduced by these early workers and their successors, Augustin Louis Cauchy (1789-1857), Ludwig Sylow (1832-1918), Camille Jordan (1838-1922) among others. The concept of an abstract group is clearly recognizable in the work of Arthur Cayley (1821-1895) but it did not really win widespread acceptance until Walther von Dyck (1856-1934) introduced presentations of groups.
Author : John Leech
Publisher : Elsevier
ISBN 13 : 1483159426
Total Pages : 413 pages
Book Rating : 4.4/5 (831 download)
Download or read book Computational Problems in Abstract Algebra written by John Leech and published by Elsevier. This book was released on 2014-05-17 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Problems in Abstract Algebra provides information pertinent to the application of computers to abstract algebra. This book discusses combinatorial problems dealing with things like generation of permutations, projective planes, orthogonal latin squares, graphs, difference sets, block designs, and Hadamard matrices. Comprised of 35 chapters, this book begins with an overview of the methods utilized in and results obtained by programs for the investigation of groups. This text then examines the method for establishing the order of a finite group defined by a set of relations satisfied by its generators. Other chapters describe the modification of the Todd–Coxeter coset enumeration process. This book discusses as well the difficulties that arise with multiplication and inverting programs, and of some ways to avoid or overcome them. The final chapter deals with the computational problems related to invariant factors in linear algebra. Mathematicians as well as students of algebra will find this book useful.
Author :
Publisher :
ISBN 13 :
Total Pages : 272 pages
Book Rating : 4.3/5 (91 download)
Download or read book Index to American Doctoral Dissertations written by and published by . This book was released on 1962 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:
