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Author : Abraham Adrian Albert
Publisher : American Mathematical Soc.
ISBN 13 : 082181401X
Total Pages : 120 pages
Book Rating : 4.8/5 (218 download)
Download or read book Finite Groups written by Abraham Adrian Albert and published by American Mathematical Soc.. This book was released on 1959 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher : Elsevier
ISBN 13 : 9780080871189
Total Pages : 157 pages
Book Rating : 4.8/5 (711 download)
Download or read book Finite Groups Æ72 written by and published by Elsevier. This book was released on 2011-09-21 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite Groups Æ72
Author : Bertram A. F. Wehrfritz
Publisher : World Scientific
ISBN 13 : 9789810238742
Total Pages : 138 pages
Book Rating : 4.2/5 (387 download)
Download or read book Finite Groups written by Bertram A. F. Wehrfritz and published by World Scientific. This book was released on 1999 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of groups, especially of finite groups, is one of the most delightful areas of mathematics. Its proofs often have elegance and crystalline beauty. This textbook is intended for the reader who has been exposed to about three years of serious mathematics. The notion of a group appears widely in mathematics and even further afield in physics and chemistry, and the fundamental idea should be known to all mathematicians. In this textbook a purely algebraic approach is taken and the choice of material is based upon the notion of conjugacy. The aim is not only to cover basic material, but also to present group theory as a living, vibrant and growing discipline, by including references and discussion of some work up to the present day.
Author : William R. Scott
Publisher : Academic Press
ISBN 13 : 1483261085
Total Pages : 580 pages
Book Rating : 4.4/5 (832 download)
Download or read book Proceedings of the Conference on Finite Groups written by William R. Scott and published by Academic Press. This book was released on 2014-05-10 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the Conference on Finite Groups provides information pertinent to the fundamental aspects of finite group theory. This book presents the problem of characterizing simple groups in terms of the local structure of a group. Organized into five parts encompassing 43 chapters, this book begins with an overview of the characterization of the Chevalley groups over fields of odd order and indicates the role of this characterization in the theory of component type groups. This text then examines the structure as well as the representations of specific simple groups. Other chapters consider the general theory of representations and characters of finite groups. This book discusses as well permutation groups and the connection between group theory and geometry. The final chapter deals with finite solvable groups as well as the theory of formations. This book is a valuable resource for mathematicians, graduate students, and research workers.
Author : Walter Ledermann
Publisher :
ISBN 13 :
Total Pages : 192 pages
Book Rating : 4.E/5 ( download)
Download or read book Introduction to the Theory of Finite Groups written by Walter Ledermann and published by . This book was released on 1964 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : I. Martin Isaacs
Publisher : American Mathematical Soc.
ISBN 13 : 9780821884096
Total Pages : 376 pages
Book Rating : 4.8/5 (84 download)
Download or read book Finite Group Theory written by I. Martin Isaacs and published by American Mathematical Soc.. This book was released on 2008-01-01 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: The text begins with a review of group actions and Sylow theory. It includes semidirect products, the Schur-Zassenhaus theorem, the theory of commutators, coprime actions on groups, transfer theory, Frobenius groups, primitive and multiply transitive permutation groups, the simplicity of the PSL groups, the generalized Fitting subgroup and also Thompson's J-subgroup and his normal $p$-complement theorem.
Author : George Abram Miller
Publisher :
ISBN 13 :
Total Pages : 413 pages
Book Rating : 4.L/5 ( download)
Download or read book Theory and Applications of Finite Groups written by George Abram Miller and published by . This book was released on 1916 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Daniel Gorenstein
Publisher : Springer Science & Business Media
ISBN 13 : 1468484974
Total Pages : 339 pages
Book Rating : 4.4/5 (684 download)
Download or read book Finite Simple Groups written by Daniel Gorenstein and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: In February 1981, the classification of the finite simple groups (Dl)* was completed,t. * representing one of the most remarkable achievements in the history or mathematics. Involving the combined efforts of several hundred mathematicians from around the world over a period of 30 years, the full proof covered something between 5,000 and 10,000 journal pages, spread over 300 to 500 individual papers. The single result that, more than any other, opened up the field and foreshadowed the vastness of the full classification proof was the celebrated theorem of Walter Feit and John Thompson in 1962, which stated that every finite group of odd order (D2) is solvable (D3)-a statement expressi ble in a single line, yet its proof required a full 255-page issue of the Pacific 10urnal of Mathematics [93]. Soon thereafter, in 1965, came the first new sporadic simple group in over 100 years, the Zvonimir Janko group 1 , to further stimulate the 1 'To make the book as self-contained as possible. we are including definitions of various terms as they occur in the text. However. in order not to disrupt the continuity of the discussion. we have placed them at the end of the Introduction. We denote these definitions by (DI). (D2), (D3). etc.
Author : Adolfo Ballester-Bolinches
Publisher : Walter de Gruyter
ISBN 13 : 3110204177
Total Pages : 347 pages
Book Rating : 4.1/5 (12 download)
Download or read book Products of Finite Groups written by Adolfo Ballester-Bolinches and published by Walter de Gruyter. This book was released on 2010 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of finite groups factorised as a product of two or more subgroups has become a subject of great interest during the last years with applications not only in group theory, but also in other areas like cryptography and coding theory. It has experienced a big impulse with the introduction of some permutability conditions. The aim of this book is to gather, order, and examine part of this material, including the latest advances made, give some new approach to some topics, and present some new subjects of research in the theory of finite factorised groups. Some of the topics covered by this book include groups whose subnormal subgroups are normal, permutable, or Sylow-permutable, products of nilpotent groups, and an exhaustive structural study of totally and mutually permutable products of finite groups and their relation with classes of groups. This monograph is mainly addressed to graduate students and senior researchers interested in the study of products and permutability of finite groups. A background in finite group theory and a basic knowledge of representation theory and classes of groups is recommended to follow it.
Author : Daniel Gorenstein
Publisher : American Mathematical Soc.
ISBN 13 : 9780821803912
Total Pages : 446 pages
Book Rating : 4.8/5 (39 download)
Download or read book The Classification of the Finite Simple Groups, Number 3 written by Daniel Gorenstein and published by American Mathematical Soc.. This book was released on 1994 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Examines the internal structure of the finite simple groups of Lie type, the finite alternating groups, and 26 sporadic finite simple groups, as well as their analogues. Emphasis is on the structure of local subgroups and their relationships with one another, rather than development of an abstract theory of simple groups. A foundation is laid for the development of specific properties of K-groups to be used in the inductive proof of the classification theorem. Highlights include statements and proofs of the Breol-Tits and Curtis-Tits theorems, and material on centralizers of semisimple involutions in groups of Lie type. For graduate students and research mathematicians. Annotation copyrighted by Book News, Inc., Portland, OR
Author : Robert Curtis
Publisher : Cambridge University Press
ISBN 13 : 0521575877
Total Pages : 315 pages
Book Rating : 4.5/5 (215 download)
Download or read book The Atlas of Finite Groups - Ten Years On written by Robert Curtis and published by Cambridge University Press. This book was released on 1998-06-11 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings containing twenty articles by leading experts in group theory and its applications.
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 : Armand Borel
Publisher : Springer
ISBN 13 : 354036272X
Total Pages : 329 pages
Book Rating : 4.5/5 (43 download)
Download or read book Seminar on Algebraic Groups and Related Finite Groups written by Armand Borel and published by Springer. This book was released on 2006-11-14 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Daniel Gorenstein
Publisher : Springer Science & Business Media
ISBN 13 : 1461336856
Total Pages : 493 pages
Book Rating : 4.4/5 (613 download)
Download or read book The Classification of Finite Simple Groups written by Daniel Gorenstein and published by Springer Science & Business Media. This book was released on 2013-11-22 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: Never before in the history of mathematics has there been an individual theorem whose proof has required 10,000 journal pages of closely reasoned argument. Who could read such a proof, let alone communicate it to others? But the classification of all finite simple groups is such a theorem-its complete proof, developed over a 30-year period by about 100 group theorists, is the union of some 500 journal articles covering approximately 10,000 printed pages. How then is one who has lived through it all to convey the richness and variety of this monumental achievement? Yet such an attempt must be made, for without the existence of a coherent exposition of the total proof, there is a very real danger that it will gradually become lost to the living world of mathematics, buried within the dusty pages of forgotten journals. For it is almost impossible for the uninitiated to find the way through the tangled proof without an experienced guide; even the 500 papers themselves require careful selection from among some 2,000 articles on simple group theory, which together include often attractive byways, but which serve only to delay the journey.
Author : Simon R. Blackburn
Publisher :
ISBN 13 : 9780511355899
Total Pages : 295 pages
Book Rating : 4.3/5 (558 download)
Download or read book Enumeration of Finite Groups written by Simon R. Blackburn and published by . This book was released on 2014-05-14 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: First text to focus on exciting area of group-theoretic research: the question 'how many groups of order n are there?'
Author : Daniel Gorenstein
Publisher :
ISBN 13 :
Total Pages : 550 pages
Book Rating : 4.3/5 (91 download)
Download or read book Finite Groups written by Daniel Gorenstein and published by . This book was released on 1967 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bertram Huppert
Publisher : Springer Verlag
ISBN 13 : 9780387106328
Total Pages : 531 pages
Book Rating : 4.1/5 (63 download)
Download or read book Finite Groups II written by Bertram Huppert and published by Springer Verlag. This book was released on 1982 with total page 531 pages. Available in PDF, EPUB and Kindle. Book excerpt:
