The Theory of Fusion Systems
Author: David A. Craven
Publisher:
Published: 2011
Total Pages: 371
ISBN-13: 9781139091237
DOWNLOAD EBOOK →The first book to deal comprehensively with the theory of fusion systems.
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The Theory of Fusion Systems
Author: David A. Craven
Publisher: Cambridge University Press
Published: 2011-06-23
Total Pages: 385
ISBN-13: 1107005965
DOWNLOAD EBOOK →The first book to deal comprehensively with the theory of fusion systems.
Fusion Systems in Algebra and Topology
Author: Michael Aschbacher
Publisher: Cambridge University Press
Published: 2011-08-25
Total Pages: 329
ISBN-13: 1107601002
DOWNLOAD EBOOK →A fusion system over a p-group S is a category whose objects form the set of all subgroups of S, whose morphisms are certain injective group homomorphisms, and which satisfies axioms first formulated by Puig that are modelled on conjugacy relations in finite groups. The definition was originally motivated by representation theory, but fusion systems also have applications to local group theory and to homotopy theory. The connection with homotopy theory arises through classifying spaces which can be associated to fusion systems and which have many of the nice properties of p-completed classifying spaces of finite groups. Beginning with a detailed exposition of the foundational material, the authors then proceed to discuss the role of fusion systems in local finite group theory, homotopy theory and modular representation theory. This book serves as a basic reference and as an introduction to the field, particularly for students and other young mathematicians.
Finite Group Theory
Author: M. Aschbacher
Publisher: Cambridge University Press
Published: 2000-06-26
Total Pages: 320
ISBN-13: 9780521786751
DOWNLOAD EBOOK →The book provides the basic foundations for the local theory of finite groups, the theory of classical linear groups, and the theory of buildings and BN-pairs.
Fusion Neutronics
Author: Yican Wu
Publisher: Springer
Published: 2017-08-16
Total Pages: 402
ISBN-13: 981105469X
DOWNLOAD EBOOK →This book provides a systematic and comprehensive introduction to fusion neutronics, covering all key topics from the fundamental theories and methodologies, as well as a wide range of fusion system designs and experiments. It is the first-ever book focusing on the subject of fusion neutronics research. Compared with other nuclear devices such as fission reactors and accelerators, fusion systems are normally characterized by their complex geometry and nuclear physics, which entail new challenges for neutronics such as complicated modeling, deep penetration, low simulation efficiency, multi-physics coupling, etc. The book focuses on the neutronic characteristics of fusion systems and introduces a series of theories and methodologies that were developed to address the challenges of fusion neutronics. Further, it introduces readers to the unique principles and procedures of neutronics design, experimental methodologies and methodologies for fusion systems. The book not only highlights the latest advances and trends in the field, but also draws on the experiences and skills collected in the author’s more than 40 years of research. To make it more accessible and enhance its practical value, various representative examples are included to illustrate the application and efficiency of the methods, designs and experimental techniques discussed.
Principles of Fusion Energy
Author: A. A. Harms
Publisher: World Scientific
Published: 2000
Total Pages: 312
ISBN-13: 9789812380333
DOWNLOAD EBOOK →This textbook accommodates the two divergent developmental paths which have become solidly established in the field of fusion energy: the process of sequential tokamak development toward a prototype and the need for a more fundamental and integrative research approach before costly design choices are made.Emphasis is placed on the development of physically coherent and mathematically clear characterizations of the scientific and technological foundations of fusion energy which are specifically suitable for a first course on the subject. Of interest, therefore, are selected aspects of nuclear physics, electromagnetics, plasma physics, reaction dynamics, materials science, and engineering systems, all brought together to form an integrated perspective on nuclear fusion and its practical utilization.The book identifies several distinct themes. The first is concerned with preliminary and introductory topics which relate to the basic and relevant physical processes associated with nuclear fusion. Then, the authors undertake an analysis of magnetically confined, inertially confined, and low-temperature fusion energy concepts. Subsequently, they introduce the important blanket domains surrounding the fusion core and discuss synergetic fusion-fission systems. Finally, they consider selected conceptual and technological subjects germane to the continuing development of fusion energy systems.
Fusion Action Systems
Author: Matthew Justin Karcher Gelvin
Publisher:
Published: 2010
Total Pages: 132
ISBN-13:
DOWNLOAD EBOOK →The study of fusion first arose in the local theory of finite groups. Puig abstracted the fusion data of a finite group to the notion of fusion system, an object that reflects local data in more abstract algebraic settings, such as the block theory of finite groups. Martino and Priddy conjectured that the algebraic data of a fusion system of a finite group should have a topological interpretation, which result was proved by Oliver using the notion of p-local finite group introduced by the team of Broto, Levi, and Oliver. The study of fusion systems and p-local finite groups thus provides a bridge between algebraic fields related to local group theory and algebraic topology. In this thesis we generalize the notion of abstract fusion system to model the local structure of a group action on a finite set. The resulting fusion action systems can be seen as a generalization of the notion of abstract fusion system, though we describe other possible interpretations as well. We also develop the notion of a p-local finite group action, which allows for connections between fusion action system theory and algebraic topology.
On Fusion Systems of Component Type
Author: Michael Aschbacher
Publisher: American Mathematical Soc.
Published: 2019-02-21
Total Pages: 182
ISBN-13: 1470435209
DOWNLOAD EBOOK →This memoir begins a program to classify a large subclass of the class of simple saturated 2-fusion systems of component type. Such a classification would be of great interest in its own right, but in addition it should lead to a significant simplification of the proof of the theorem classifying the finite simple groups. Why should such a simplification be possible? Part of the answer lies in the fact that there are advantages to be gained by working with fusion systems rather than groups. In particular one can hope to avoid a proof of the B-Conjecture, a important but difficult result in finite group theory, established only with great effort.
Fusion Systems in Algebra and Topology
Author: Michael Aschbacher
Publisher:
Published: 2014-05-14
Total Pages: 330
ISBN-13: 9781139101844
DOWNLOAD EBOOK →A fusion system over a p-group S is a category whose objects form the set of all subgroups of S, whose morphisms are certain injective group homomorphisms, and which satisfies axioms first formulated by Puig that are modelled on conjugacy relations in finite groups. The definition was originally motivated by representation theory, but fusion systems also have applications to local group theory and to homotopy theory. The connection with homotopy theory arises through classifying spaces which can be associated to fusion systems and which have many of the nice properties of p-completed classifying spaces of finite groups. Beginning with a detailed exposition of the foundational material, the authors then proceed to discuss the role of fusion systems in local finite group theory, homotopy theory and modular representation theory. The book serves as a basic reference and as an introduction to the field, particularly for students and other young mathematicians.
Plasma Physics and Fusion Energy
Author: Jeffrey P. Freidberg
Publisher: Cambridge University Press
Published: 2008-07-10
Total Pages: 6
ISBN-13: 1139462156
DOWNLOAD EBOOK →There has been an increase in interest worldwide in fusion research over the last decade and a half due to the recognition that a large number of new, environmentally attractive, sustainable energy sources will be needed to meet ever increasing demand for electrical energy. Based on a series of course notes from graduate courses in plasma physics and fusion energy at MIT, the text begins with an overview of world energy needs, current methods of energy generation, and the potential role that fusion may play in the future. It covers energy issues such as the production of fusion power, power balance, the design of a simple fusion reactor and the basic plasma physics issues faced by the developers of fusion power. This book is suitable for graduate students and researchers working in applied physics and nuclear engineering. A large number of problems accumulated over two decades of teaching are included to aid understanding.
