Finite Groups Which Are Almost Groups of Lie Type in Characteristic $mathbf {p}$ PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Finite Groups Which Are Almost Groups of Lie Type in Characteristic $mathbf {p}$ PDF full book. Access full book title Finite Groups Which Are Almost Groups of Lie Type in Characteristic $mathbf {p}$ by Chris Parker. Download full books in PDF and EPUB format.
Author: Chris Parker
Publisher: American Mathematical Society
ISBN: 1470467291
Category : Mathematics
Languages : en
Pages : 194
Get Book
Book Description
View the abstract.
Author: Chris Parker
Publisher: American Mathematical Society
ISBN: 1470467291
Category : Mathematics
Languages : en
Pages : 194
Get Book
Book Description
View the abstract.
Author: Daniel Gorenstein
Publisher: American Mathematical Soc.
ISBN: 0821809601
Category : Mathematics
Languages : en
Pages : 186
Get Book
Book Description
The classification of the finite simple groups is one of the major feats of contemporary mathematical research, but its proof has never been completely extricated from the journal literature in which it first appeared. This book serves as an introduction to a series devoted to organizing and simplifying the proof. The purpose of the series is to present as direct and coherent a proof as is possible with existing techniques. This first volume, which sets up the structure for the entire series, begins with largely informal discussions of the relationship between the Classification Theorem and the general structure of finite groups, as well as the general strategy to be followed in the series and a comparison with the original proof. Also listed are background results from the literature that will be used in subsequent volumes. Next, the authors formally present the structure of the proof and the plan for the series of volumes in the form of two grids, giving the main case division of the proof as well as the principal milestones in the analysis of each case. Thumbnail sketches are given of the ten or so principal methods underlying the proof. Much of the book is written in an expository style accessible to nonspecialists.
Author: James E. Humphreys
Publisher: Cambridge University Press
ISBN: 9780521674546
Category : Mathematics
Languages : en
Pages : 260
Get Book
Book Description
A comprehensive treatment of the representation theory of finite groups of Lie type over a field of the defining prime characteristic.
Author: Daniel Gorenstein
Publisher: Springer Science & Business Media
ISBN: 1468484974
Category : Mathematics
Languages : en
Pages : 339
Get Book
Book Description
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: Daniel Gorenstein
Publisher: American Mathematical Soc.
ISBN: 9780821860243
Category : Mathematics
Languages : en
Pages : 414
Get Book
Book Description
Author: Michael Aschbacher
Publisher: American Mathematical Soc.
ISBN: 0821853368
Category : Mathematics
Languages : en
Pages : 362
Get Book
Book Description
Provides an outline and modern overview of the classification of the finite simple groups. It primarily covers the 'even case', where the main groups arising are Lie-type (matrix) groups over a field of characteristic 2. The book thus completes a project begun by Daniel Gorenstein's 1983 book, which outlined the classification of groups of 'noncharacteristic 2 type'.
Author: Chat Yin Ho
Publisher: Walter de Gruyter
ISBN: 3110198126
Category : Mathematics
Languages : en
Pages : 434
Get Book
Book Description
This is a volume of research articles related to finite groups. Topics covered include the classification of finite simple groups, the theory of p-groups, cohomology of groups, representation theory and the theory of buildings and geometries. As well as more than twenty original papers on the latest developments, which will be of great interest to specialists, the volume contains several expository articles, from which students and non-experts can learn about the present state of knowledge and promising directions for further research. The Finite Groups 2003 conference was held in honor of John Thompson. The profound influence of his fundamental contributions is clearly visible in this collection of papers dedicated to him.
Author: Inna Capdeboscq
Publisher: American Mathematical Society
ISBN: 1470475537
Category : Mathematics
Languages : en
Pages : 587
Get Book
Book Description
This book is the tenth in a series of volumes whose aim is to provide a complete proof of the classification theorem for the finite simple groups based on a fairly short and clearly enumerated set of background results. Specifically, this book completes our identification of the simple groups of bicharacteristic type begun in the ninth volume of the series (see SURV/40.9). This is a fascinating set of simple groups which have properties in common with matrix groups (or, more generally, groups of Lie type) defined both over fields of characteristic 2 and over fields of characteristic 3. This set includes 11 of the celebrated 26 sporadic simple groups along with several of their large simple subgroups. Together with SURV/40.9, this volume provides the first unified treatment of this class of simple groups.
Author: Bertram A. F. Wehrfritz
Publisher: World Scientific
ISBN: 9789810238742
Category : Mathematics
Languages : en
Pages : 138
Get Book
Book Description
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 Raymond Scott
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 590
Get Book
Book Description
This volume consists of the papers presented at a conference on finite groups which took place in Park City, Utah on February 10-13, 1975. The subjects discussed at the conference were in one of the five main areas of finite group theory, including characterizing simple groups, representations of simple groups, representations and characters of finite groups, permutation groups, and group theory.
