Download or read book Finite Groups Which Are Almost Groups of Lie Type in Characteristic mathbf p written by Chris Parker and published by American Mathematical Society. This book was released on 2024-01-26 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Download or read book The Classification of the Finite Simple Groups Number 6 written by Daniel Gorenstein and published by American Mathematical Soc.. This book was released on 1994 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: The classification of finite simple groups is a landmark result of modern mathematics. This work presents critical aspects of the classification. It provides the classification of finite simple groups of special odd type (Theorems $\mathcal{C}_2$ and $\mathcal{C}_3$). It is suitable for graduate students and researchers interested in group theory.
Download or read book The Classification of Finite Simple Groups written by Michael Aschbacher and published by American Mathematical Soc.. This book was released on 2011 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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'.
Download or read book Finite Groups 2003 written by Chat Yin Ho and published by Walter de Gruyter. This book was released on 2008-08-22 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Modular Representations of Finite Groups of Lie Type written by James E. Humphreys and published by Cambridge University Press. This book was released on 2005-12-22 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite groups of Lie type encompass most of the finite simple groups. Their representations and characters have been studied intensively for half a century, though some key problems remain unsolved. This is the first comprehensive treatment of the representation theory of finite groups of Lie type over a field of the defining prime characteristic. As a subtheme, the relationship between ordinary and modular representations is explored, in the context of Deligne-Lusztig characters. One goal has been to make the subject more accessible to those working in neighboring parts of group theory, number theory, and topology.
Download or read book Finite and Locally Finite Groups written by B. Hartley and published by Springer. This book was released on 1995-08-31 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the NATO Advanced Study Institute, Istanbul, Turkey, 14--27 August 1994
Download or read book The Classification of the Finite Simple Groups Number 10 written by Inna Capdeboscq and published by American Mathematical Society. This book was released on 2023-10-23 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Theory of Finite Simple Groups written by Gerhard Michler and published by Cambridge University Press. This book was released on 2006-09-21 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first representation theoretic and algorithmic approach to the theory of abstract finite simple groups.
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.
Download or read book The Local Structure of Finite Groups of Characteristic 2 Type written by Daniel Gorenstein and published by American Mathematical Soc.. This book was released on 1983 with total page 743 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studies the generic finite simple group of characteristic 2 type whose proper subgroups are of known type. The authors' principal result (the Trichotomy Theorem) asserts that such a group has one of three precisely determined internal structures.
Download or read book Proceedings of the Conference on Finite Groups written by William Raymond Scott and published by . This book was released on 1976 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Finite Groups with Standard Components of Lie Type Over Fields of Characteristic Two written by Robert H. Gilman and published by . This book was released on 1980 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Classification of Quasithin Groups written by Michael Aschbacher and published by American Mathematical Soc.. This book was released on 2004 with total page 762 pages. Available in PDF, EPUB and Kindle. Book excerpt: In around 1980, G. Mason announced the classification of a subclass of an important class of finite simple groups known as 'quasithin groups'. In the main theorem of this two-part work the authors provide a proof of a stronger theorem classifying a larger class of groups independently of Mason's research.
Download or read book Modular Representations of Finite Groups of Lie Type written by James E. Humphreys and published by . This book was released on 2006 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite groups of Lie type encompass most of the finite simple groups. Their representations and characters have been studied intensively for half a century, though some key problems remain unsolved. This is the first comprehensive treatment of the representation theory of finite groups of Lie type over a field of the defining prime characteristic. As a subtheme, the relationship between ordinary and modular representations is explored, in the context of Deligne-Lusztig characters. One goal has been to make the subject more accessible to those working in neighbouring parts of group theory, number theory, and topology. Core material is treated in detail, but the later chapters emphasize informal exposition accompanied by examples and precise references.
Download or read book The Classification of Finite Simple Groups written by and published by American Mathematical Soc.. This book was released on with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title 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.
Download or read book An Introduction to Lie Groups and Lie Algebras written by Alexander A. Kirillov and published by Cambridge University Press. This book was released on 2008-07-31 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contemporary introduction to semisimple Lie algebras; concise and informal, with numerous exercises and examples
Download or read book Simple Groups of Lie Type written by Roger William Carter and published by John Wiley & Sons. This book was released on 1972 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt:
