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Author: Helmut Bender
Publisher: Cambridge University Press
ISBN: 0521457165
Category : Mathematics
Languages : en
Pages : 188
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Book Description
The book presents a new version of the local analysis section of the Feit-Thompson theorem.
Author: Helmut Bender
Publisher: Cambridge University Press
ISBN: 0521457165
Category : Mathematics
Languages : en
Pages : 188
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Book Description
The book presents a new version of the local analysis section of the Feit-Thompson theorem.
Author: Helmut Bender
Publisher:
ISBN: 9781107362024
Category : MATHEMATICS
Languages : en
Pages : 188
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Book Description
In 1963 Walter Feit and John G. Thompson proved the Odd Order Theorem, which states that every finite group of odd order is solvable. The influence of both the theorem and its proof on the further development of finite group theory can hardly be overestimated. The proof consists of a set of preliminary results followed by three parts: local analysis, characters, and generators and relations (Chapters IV, V, and VI of the paper).
Author: Daniel Gorenstein
Publisher: Springer Science & Business Media
ISBN: 1468484974
Category : Mathematics
Languages : en
Pages : 339
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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: Klaus Schneider
Publisher: Springer Science & Business Media
ISBN: 3540745904
Category : Computers
Languages : en
Pages : 408
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Book Description
This book contains the refereed proceedings of the 20th International Conference on Theorem Proving in Higher Order Logics, TPHOLs 2007, held in Kaiserslautern, Germany, September 2007. Among the topics of this volume are formal semantics of specification, modeling, and programming languages, specification and verification of hardware and software, formalization of mathematical theories, advances in theorem prover technology, as well as industrial application of theorem provers.
Author: C. M. Campbell
Publisher: Cambridge University Press
ISBN: 9781139437219
Category : Mathematics
Languages : en
Pages : 316
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Book Description
This first volume of the two-volume book contains selected papers from the international conference 'Groups St Andrews 2001 in Oxford' which was held at the University of Oxford in August 2001. Five main lecture courses were given at the conference, and articles based on their lectures form a substantial part of the Proceedings. This volume contains the contributions from Marston Conder (Auckland), Persi Diaconis (Stanford) and Marcus Du Sautoy (Cambridge). The series of Proceedings of Groups St Andrews conferences have provided snapshots of the state of research in group theory throughout the past twenty years. As with earlier volumes, these refereed volumes also contain accessible surveys of contemporary research fronts, as well as a diverse collection of short research articles. They form a valuable reference for researchers, especially graduate students, working in group theory.
Author: A. Martsinkovsky
Publisher: Cambridge University Press
ISBN: 9780521577892
Category : Mathematics
Languages : en
Pages : 148
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Book Description
For any researcher working in representation theory, algebraic or arithmetic geometry.
Author: G. R. H. Greaves
Publisher: Cambridge University Press
ISBN: 0521589576
Category : Mathematics
Languages : en
Pages : 360
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Book Description
State-of-the-art analytic number theory proceedings.
Author: Bridget S. Webb
Publisher: Cambridge University Press
ISBN: 9780521615235
Category : Mathematics
Languages : en
Pages : 270
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Book Description
This volume provides an up-to-date overview of current research across combinatorics,.
Author: David M. Evans
Publisher: Cambridge University Press
ISBN: 052158955X
Category : Mathematics
Languages : en
Pages : 232
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Book Description
Surveys recent interactions between model theory and other branches of mathematics, notably group theory.
Author: Gabriel Navarro
Publisher: Cambridge University Press
ISBN: 0521595134
Category : Mathematics
Languages : en
Pages : 301
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Book Description
This is a clear, accessible and up-to-date exposition of modular representation theory of finite groups from a character-theoretic viewpoint. After a short review of the necessary background material, the early chapters introduce Brauer characters and blocks and develop their basic properties. The next three chapters study and prove Brauer's first, second and third main theorems in turn. These results are then applied to prove a major application of finite groups, the Glauberman Z*-theorem. Later chapters examine Brauer characters in more detail. The relationship between blocks and normal subgroups is also explored and the modular characters and blocks in p-solvable groups are discussed. Finally, the character theory of groups with a Sylow p-subgroup of order p is studied. Each chapter concludes with a set of problems. The book is aimed at graduate students, with some previous knowledge of ordinary character theory, and researchers studying the representation theory of finite groups.
