Author: Michael Aschbacher
Publisher: American Mathematical Soc.
ISBN: 1470435209
Category : Mathematics
Languages : en
Pages : 194
Book Description
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.
On Fusion Systems of Component Type
Author: Michael Aschbacher
Publisher: American Mathematical Soc.
ISBN: 1470435209
Category : Mathematics
Languages : en
Pages : 194
Book Description
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.
Publisher: American Mathematical Soc.
ISBN: 1470435209
Category : Mathematics
Languages : en
Pages : 194
Book Description
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.
Rank 2 Amalgams and Fusion Systems
Author: Martin van Beek
Publisher: Springer Nature
ISBN: 3031544617
Category :
Languages : en
Pages : 210
Book Description
Publisher: Springer Nature
ISBN: 3031544617
Category :
Languages : en
Pages : 210
Book Description
Fusion Systems in Algebra and Topology
Author: Michael Aschbacher
Publisher: Cambridge University Press
ISBN: 1107601002
Category : Mathematics
Languages : en
Pages : 329
Book Description
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.
Publisher: Cambridge University Press
ISBN: 1107601002
Category : Mathematics
Languages : en
Pages : 329
Book Description
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.
Summaries of Projects Completed
Author: National Science Foundation (U.S.)
Publisher:
ISBN:
Category : Engineering
Languages : en
Pages : 488
Book Description
Publisher:
ISBN:
Category : Engineering
Languages : en
Pages : 488
Book Description
Systems Approaches to Nuclear Fusion Reactors
Author: Frederick B. Marcus
Publisher: Springer Nature
ISBN: 3031177118
Category : Science
Languages : en
Pages : 484
Book Description
This book offers an overall review, applying systems engineering and architecture approaches, of the design, optimization, operation and results of leading fusion experiments. These approaches provide a unified means of evaluating reactor design. Methodologies are developed for more coherent construction or evaluation of fusion devices, associated experiments and operating procedures. The main focus is on tokamaks, with almost all machines and their important results being integrated into a systems design space. Case studies focus on DIII-D, TCV, JET, WEST, the fusion reactor prototype ITER and the EU DEMO concept. Stellarator, Mirror and Laser inertial confinement experiments are similarly analysed, including reactor implications of breakeven at NIF. The book examines the engineering and physics design and optimization process for each machine, analysing their performance and major results achieved, thus establishing a basis for the improvement of future machines. The reader will gain a broad historical and up-to-date perspective of the status of nuclear fusion research from both an engineering and physics point of view. Explanations are given of the computational tools needed to design and operate successful experiments and reactor-relevant machines. This book is aimed at both graduate students and practitioners of nuclear fusion science and engineering, as well as those specializing in other fields demanding large and integrated experimental equipment. Systems engineers will obtain valuable insights into fusion applications. References are given to associated complex mathematical derivations, which are beyond the scope of this book. The general reader interested in nuclear fusion will find here an accessible summary of the current state of nuclear fusion.
Publisher: Springer Nature
ISBN: 3031177118
Category : Science
Languages : en
Pages : 484
Book Description
This book offers an overall review, applying systems engineering and architecture approaches, of the design, optimization, operation and results of leading fusion experiments. These approaches provide a unified means of evaluating reactor design. Methodologies are developed for more coherent construction or evaluation of fusion devices, associated experiments and operating procedures. The main focus is on tokamaks, with almost all machines and their important results being integrated into a systems design space. Case studies focus on DIII-D, TCV, JET, WEST, the fusion reactor prototype ITER and the EU DEMO concept. Stellarator, Mirror and Laser inertial confinement experiments are similarly analysed, including reactor implications of breakeven at NIF. The book examines the engineering and physics design and optimization process for each machine, analysing their performance and major results achieved, thus establishing a basis for the improvement of future machines. The reader will gain a broad historical and up-to-date perspective of the status of nuclear fusion research from both an engineering and physics point of view. Explanations are given of the computational tools needed to design and operate successful experiments and reactor-relevant machines. This book is aimed at both graduate students and practitioners of nuclear fusion science and engineering, as well as those specializing in other fields demanding large and integrated experimental equipment. Systems engineers will obtain valuable insights into fusion applications. References are given to associated complex mathematical derivations, which are beyond the scope of this book. The general reader interested in nuclear fusion will find here an accessible summary of the current state of nuclear fusion.
Report
Author: United States. Congress. House
Publisher:
ISBN:
Category : United States
Languages : en
Pages : 2226
Book Description
Publisher:
ISBN:
Category : United States
Languages : en
Pages : 2226
Book Description
Summaries of Projects Completed in Fiscal Year ...
Author:
Publisher:
ISBN:
Category : Engineering
Languages : en
Pages : 474
Book Description
Publisher:
ISBN:
Category : Engineering
Languages : en
Pages : 474
Book Description
Fusion Engineering
Author:
Publisher:
ISBN:
Category : Controlled fusion
Languages : en
Pages : 760
Book Description
Publisher:
ISBN:
Category : Controlled fusion
Languages : en
Pages : 760
Book Description
Summaries of Projects Completed in Fiscal Year ...
Author: National Science Foundation (U.S.)
Publisher:
ISBN:
Category : Engineering
Languages : en
Pages : 476
Book Description
Publisher:
ISBN:
Category : Engineering
Languages : en
Pages : 476
Book Description
Fire Protection Systems includes Navigate Advantage Access
Author: A. Maurice Jones Jr.
Publisher: Jones & Bartlett Learning
ISBN: 128420555X
Category : Technology & Engineering
Languages : en
Pages : 325
Book Description
The third edition of Fire Protection Systems meets and exceeds the National Fire Academy’s Fire and Emergency Services Higher Education (FESHE) course objectives and outcomes for the Associate’s (Core) course Fire Protection Systems (C0288). The Third Edition provides a comprehensive and concise overview of the design and operation of various types of fire protection systems, including fire alarm and detection systems, automatic fire sprinkler systems, special hazard fire protection systems, smoke control and management systems, and security and emergency response systems. The Third Edition includes: An emphasis on testing and inspection—Testing and inspection are stressed throughout and are reinforced through discussions of design and installation standards, testing and inspection processes and requirements, and common system impairments. Updated model code overview—An overview of the model code development process is presented to assist students in understanding the origin and ongoing significance of building, fire, and life safety issues and requirements. Case Studies—Each chapter begins with a case study that highlights actual events and lessons learned to emphasize the importance of designing, installing, inspecting, and maintaining fire protection systems to effectively fight fires. Additional case studies close each chapter and provide students a means to test their knowledge of the chapter concepts in the context of a fictional case. Full-color photos and illustrations, in a larger 8 1⁄2 x 10 7/8 trim size, help identify the various systems and their associated components.
Publisher: Jones & Bartlett Learning
ISBN: 128420555X
Category : Technology & Engineering
Languages : en
Pages : 325
Book Description
The third edition of Fire Protection Systems meets and exceeds the National Fire Academy’s Fire and Emergency Services Higher Education (FESHE) course objectives and outcomes for the Associate’s (Core) course Fire Protection Systems (C0288). The Third Edition provides a comprehensive and concise overview of the design and operation of various types of fire protection systems, including fire alarm and detection systems, automatic fire sprinkler systems, special hazard fire protection systems, smoke control and management systems, and security and emergency response systems. The Third Edition includes: An emphasis on testing and inspection—Testing and inspection are stressed throughout and are reinforced through discussions of design and installation standards, testing and inspection processes and requirements, and common system impairments. Updated model code overview—An overview of the model code development process is presented to assist students in understanding the origin and ongoing significance of building, fire, and life safety issues and requirements. Case Studies—Each chapter begins with a case study that highlights actual events and lessons learned to emphasize the importance of designing, installing, inspecting, and maintaining fire protection systems to effectively fight fires. Additional case studies close each chapter and provide students a means to test their knowledge of the chapter concepts in the context of a fictional case. Full-color photos and illustrations, in a larger 8 1⁄2 x 10 7/8 trim size, help identify the various systems and their associated components.