Burnside Groups
Author : J. L. Mennicke
Publisher : Springer
Page : 279 pages
File Size : 33,33 MB
Release : 2006-11-15
Category : Mathematics
ISBN : 3540381201
Author : J. L. Mennicke
Publisher : Springer
Page : 279 pages
File Size : 33,33 MB
Release : 2006-11-15
Category : Mathematics
ISBN : 3540381201
Author : William Burnside
Publisher :
Page : 420 pages
File Size : 50,91 MB
Release : 1897
Category : Group theory
ISBN :
Author : Victor E Hill
Publisher : CRC Press
Page : 264 pages
File Size : 43,87 MB
Release : 1999-11-22
Category : Mathematics
ISBN : 9781584880387
Group representation theory is both elegant and practical, with important applications to quantum mechanics, spectroscopy, crystallography, and other fields in the physical sciences. Until now, however, there have been virtually no accessible treatments of group theory that include representations and characters. The classic works in the field require a high level of mathematical sophistication, and other texts omit representations and characters. Groups and Characters offers an easy-to-follow introduction to the theory of groups and of group characters. Designed as a rapid survey of the subject, this unique text emphasizes examples and applications of the theorems, and avoids many of the longer and more difficult proofs. The author presents group theory through the Sylow Theorems and includes the full subgroup structure of A5. Representations and characters are worked out with numerous character tables, along with real and induced characters that lead to the table for S5. The text includes specific sections that provide the mathematical basis for some of the important applications of group theory in spectroscopy and molecular structure. It also offers numerous exercises-some stressing computation of concrete examples, others stressing development of the mathematical theory. Groups and Characters provides the ideal grounding for more advanced studies with the classic texts, and for more broad-based work in abstract algebra. Furthermore, physical scientists-whose experience with groups and characters may not be rigorous-will find Groups and Characters the ideal means for gaining a sense of the mathematics lying behind the techniques used in applications.
Author : Michael Vaughan-Lee
Publisher : Oxford University Press on Demand
Page : 256 pages
File Size : 37,13 MB
Release : 1993
Category : Language Arts & Disciplines
ISBN : 9780198537861
The first edition of this book provided an account of the restricted Burnside problem making extensive use of Lie ring techniques to provide a uniform treatment of the field. It also included Kostrikin's theorem for groups of prime exponent. The second edition, as well as providing general updating, contains a new chapter on E.I. Zelmanov's highly acclaimed and recent solution to the Restricted Burnside Problem for arbitrary prime-power exponent. This material is currently only available in papers in Russian journals. This proof ofZelmanov's theorem given in the new edition is self contained, and (unlike Zelmanov's original proof) does not rely on the theory of Jordan algebras.
Author : S. I. Adi︠a︡n
Publisher : Springer
Page : 336 pages
File Size : 45,31 MB
Release : 1979
Category : Mathematics
ISBN :
This book is based on a special course that the author delivered to the Faculty of Mechanics and Mathematics at Moscow University in the academic years 1971/72 and 1972/73. It presents a new and improved version of the method of investigating groups with an identical relation of the form [lowercase italic]x[lowercase italic superscript]n = 1 evolved by P. S. Novikov and the author for solving Burnside's problem on periodic groups, first published in a joint paper. In the interval since the Russian edition was published, the method described has found new applications.
Author : J. L. Mennicke
Publisher :
Page : 284 pages
File Size : 36,77 MB
Release : 2014-01-15
Category :
ISBN : 9783662179499
Author : William Burnside
Publisher :
Page : 818 pages
File Size : 19,7 MB
Release : 2004
Category : Burnside problem
ISBN : 9780198505860
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 : Y. Bahturin
Publisher : Springer Science & Business Media
Page : 240 pages
File Size : 41,86 MB
Release : 2013-12-01
Category : Mathematics
ISBN : 1461302358
The volume is almost entirely composed of the research and expository papers by the participants of the International Workshop "Groups, Rings, Lie and Hopf Algebras", which was held at the Memorial University of Newfoundland, St. John's, NF, Canada. All four areas from the title of the workshop are covered. In addition, some chapters touch upon the topics, which belong to two or more areas at the same time. Audience: The readership targeted includes researchers, graduate and senior undergraduate students in mathematics and its applications.
Author : Marshall Hall Jr.
Publisher :
Page : 444 pages
File Size : 18,76 MB
Release : 2012-06-01
Category :
ISBN : 9781258410780
Author : S. I. Adian
Publisher :
Page : 0 pages
File Size : 22,80 MB
Release : 1979
Category :
ISBN :