The Theory of Fusion Systems: An Algebraic Approach (Cambridge Studies in Advanced Mathematics) David A. Craven » holypet.ru

Fusion systems are a recent development in finite group theory and sit at the intersection of algebra and topology. This book is the first to deal comprehensively with this new and expanding field, taking the reader from the basics of the theory right to the state of the art. At the end, there is also a discussion of exotic fusion systems. Designed for use as a text and reference work, this book is suitable for graduate students and experts alike. David A. Craven is a Junior Research Fellow in the Mathematical Institute at the University of Oxford. The theory of fusion systems: an algebraic approach. [David A Craven] -- "Fusion systems are a recent development in finite group theory and sit at the intersection of algebra and topology. This book is the first to deal comprehensively with this new and expanding field. Publisher Synopsis "Craven's efforts to collect together in one work all of the main achievements stem from an excellent intention, and the book establishes a unified terminology for fusion systems, limiting the spread of conflicting definitions.". Craven, David A. The theory of fusion systems:an algebraic approach/David A. Craven. p. cm. – Cambridge studies in advanced mathematics; 131 Includes bibliographical references and index. ISBN 978-1-107-00596-9 hardback 1. Finite groups. 2. Representations of algebras. 3. Algebraic topology. I. Title. II. Series. QA177.C73 2011 512.23–dc22 2011006354.

The theory of fusion systems an algebraic approach by David A. Craven: 131: Models and Games by Jouko Väänänen: 132: Linear Algebraic Groups and Finite Groups of Lie Type by Gunter Malle: 133: Local Cohomology: An Algebraic Introduction with Geometric Applications by M. P. Brodmann: 136: Classical and Multilinear Harmonic Analysis by Camil. Category theory provides structure for the mathematical world and is seen everywhere in modern mathematics. With this book, the author bridges the gap between pure category theory and its numerous applications in homotopy theory, providing the necessary background information to make the subject accessible to graduate students or researchers with a background in algebraic topology and algebra. David A. CravenAn algebraic approach The Theory of Fusion Systems, Cambridge Studies in Advanced Mathematics, vol. 131, Cambridge University Press, Cambridge 2011 MR2808319. In this phase we study a myriad of potential amalgams which, because. The theory of fusion systems. An algebraic approach. Cam bridge Studies in. Advanced Mathematics, 131. Cambridge. Says Craven, “It is difficult to pinpoint the origins of the theory of fusion systems: it could be argued that they stretch back to Burnside and Frobenius, with arguments about the fusion of p-elements of finite groups.”.

David A. Craven, The theory of fusion systems, Cambridge Studies in Advanced Mathematics, vol. 131, Cambridge University Press, Cambridge, 2011.

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