Download or read book Fusion Systems with Standard Components of Small Rank written by Matthew Welz and published by . This book was released on 2012 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis we study two problems in the area of fusion systems which are designed to mimic, simplify, and generalize parts of the Classification of Finite Simple Groups. In general, a finite simple group G is determined to a great extent by the structure and conjugacy pattern of a Sylow 2-subgroup. A 2-fusion system considers only a 2-group S equipped with a family of injective homomorphisms (called fusion maps) on subgroups of S without reference to aI) ambient group G. The general framework of fusion systems also arises naturally in the study of modular representations and classifying spaces; and so results proved for fusion systems have potential ramifications beyond the realm of finite group theory. One problem in this area is to determine S or, whenever possible, the entire 2-fusion system only from the knowledge of certain subgroups and fusion maps between these subgroups. In this thesis we consider two such problems: where S contains subgroups and fusion maps that arise in the Classification with standard components of type SL2(q) and PS L2(q). In particular, we give a characterization of simple, saturated fusion systems containing such components.
Download or read book On Fusion Systems of Component Type written by Michael Aschbacher and published by American Mathematical Soc.. This book was released on 2019-02-21 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Rank 2 Amalgams and Fusion Systems written by Martin van Beek and published by Springer Nature. This book was released on with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fusion Systems on P groups of Sectional Rank 3 written by Valentina Grazian and published by . This book was released on 2017 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fusion Systems on groups of Sectional Rank 3 written by Valentina Grazian and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Reduced Fusion Systems Over 2 groups of Sectional Rank at Most 4 written by Robert Oliver and published by . This book was released on 2015 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: "We classify all reduced, indecomposable fusion systems over finite 2-groups of sectional rank at most 4. The resulting list is very similar to that by Gorenstein and Harada of all simple groups of sectional 2-rank at most 4. But our method of proof is very different from theirs, and is based on an analysis of the essential subgroups which can occur in the fusion systems."--Page v.
Download or read book Fusion Systems in Algebra and Topology written by Michael Aschbacher and published by Cambridge University Press. This book was released on 2011-08-25 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Summaries of Projects Completed written by National Science Foundation (U.S.) and published by . This book was released on with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fusion Engineering written by and published by . This book was released on 1986 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Systems Approaches to Nuclear Fusion Reactors written by Frederick B. Marcus and published by Springer Nature. This book was released on 2023-01-01 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Summaries of Projects Completed in Fiscal Year written by and published by . This book was released on 1977 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Report written by United States. Congress. House and published by . This book was released on with total page 2226 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Summaries of Projects Completed in Fiscal Year written by National Science Foundation (U.S.) and published by . This book was released on 1977 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fire Protection Systems includes Navigate Advantage Access written by A. Maurice Jones Jr. and published by Jones & Bartlett Learning. This book was released on 2019-10-10 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book State Foreign Operations and Related Programs Appropriations for 2009 written by United States. Congress. House. Committee on Appropriations. Subcommittee on State, Foreign Operations, and Related Programs and published by . This book was released on 2008 with total page 844 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Publications of the National Bureau of Standards Catalog written by United States. National Bureau of Standards and published by . This book was released on 1981 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Advances in Information Retrieval written by Nazli Goharian and published by Springer Nature. This book was released on with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt:
