Rank 2 Amalgams And Fusion Systems

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Rank 2 Amalgams And Fusion Systems

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Author : Martin van Beek
language : en
Publisher: Springer Nature
Release Date : 2024-04-19

Rank 2 Amalgams And Fusion Systems written by Martin van Beek and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-19 with Mathematics categories.

This monograph provides a comprehensive treatment of the classification of small fusion systems, that is, fusion systems with few essential subgroups. It demonstrates a broad range of techniques from local group theory and fusion systems, several of which can be applied in more general settings. Addressing research problems that have not been treated in the past, it is the first text to explicitly use the amalgam method in this context. Fusion systems offer an enticing way to unify various p-local methods employed in group theory, representation theory and homotopy theory; but as abstract constructions they are still somewhat mysterious. This book paves the way to a broad and systematic study of these categories by applying the amalgam method, thus modernizing a methodology widely used to understand the local structure of finite groups. With this comes an introduction to several vital techniques in local group theory, a generous survey of the structure and modular representation theory of some important families of finite groups, and a demonstration of the value of combinatorial methods in finite group theory and fusion systems. Primarily aimed at researchers active in fusion systems and group amalgams, the book will also be of interest to anyone working with finite groups and their modular representations, group actions on trees, or classifying spaces. The inclusion of preliminary chapters outlining the theoretical prerequisites make it ideal for a short lecture course or as a reading group text for early career researchers and graduate students.

Reduced Fusion Systems Over 2 Groups Of Sectional Rank At Most 4

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Author : Bob Oliver
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-01-25

Reduced Fusion Systems Over 2 Groups Of Sectional Rank At Most 4 written by Bob Oliver and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-01-25 with Mathematics categories.

The author classifies all reduced, indecomposable fusion systems over finite -groups of sectional rank at most . The resulting list is very similar to that by Gorenstein and Harada of all simple groups of sectional -rank at most . But this 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.

Automorphisms Of Fusion Systems Of Finite Simple Groups Of Lie Type

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Author : Carles Broto
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-02-13

Automorphisms Of Fusion Systems Of Finite Simple Groups Of Lie Type written by Carles Broto and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-13 with Education categories.

For a finite group G of Lie type and a prime p, the authors compare the automorphism groups of the fusion and linking systems of G at p with the automorphism group of G itself. When p is the defining characteristic of G, they are all isomorphic, with a very short list of exceptions. When p is different from the defining characteristic, the situation is much more complex but can always be reduced to a case where the natural map from Out(G) to outer automorphisms of the fusion or linking system is split surjective. This work is motivated in part by questions involving extending the local structure of a group by a group of automorphisms, and in part by wanting to describe self homotopy equivalences of BG∧p in terms of Out(G).

Mathematical Reviews

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Author :
language : en
Publisher:
Release Date : 2008

Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.

Advanced Dental Biomaterials

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Author : Zohaib Khurshid
language : en
Publisher: Woodhead Publishing
Release Date : 2019-05-24

Advanced Dental Biomaterials written by Zohaib Khurshid and has been published by Woodhead Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-24 with Technology & Engineering categories.

Advanced Dental Biomaterials is an invaluable reference for researchers and clinicians within the biomedical industry and academia. The book can be used by both an experienced researcher/clinician learning about other biomaterials or applications that may be applicable to their current research or as a guide for a new entrant into the field who needs to gain an understanding of the primary challenges, opportunities, most relevant biomaterials, and key applications in dentistry. - Provides a comprehensive review of the materials science, engineering principles and recent advances in dental biomaterials - Reviews the fundamentals of dental biomaterials and examines advanced materials' applications for tissues regeneration and clinical dentistry - Written by an international collaborative team of materials scientists, biomedical engineers, oral biologists and dental clinicians in order to provide a balanced perspective on the field

Metals In Mercury

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Author : C. Hirayama
language : en
Publisher: Elsevier
Release Date : 2017-03-03

Metals In Mercury written by C. Hirayama and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-03 with Science categories.

The volume covers binary amalgams of all the metals, together with those of carbon, silicon and boron, a total of 76 systems. Complete literature coverage extends through 1983. The emphasis is on accurate, evaluated solubility data, but phase diagrams have been included where they have been defined, and will aid the reader in assigning the solid-liquid equilibrium. Tha data have been critically evaluated, and are classified as 'recommended' when independent determinations agree within experimental error. The data may also be used to compute thermodynamic properties of the binary components.

Modern Operative Dentistry

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Author : Carlos Rocha Gomes Torres
language : en
Publisher: Springer Nature
Release Date : 2019-12-14

Modern Operative Dentistry written by Carlos Rocha Gomes Torres and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-14 with Medical categories.

This book provides the theoretical knowledge required by students when learning how to diagnose oral diseases, plan treatment, and perform various types of dental restoration. It is also useful for clinicians wishing to update their treatment skills and broaden their understanding operative dentistry.Adopting an evidence-based approach, and in accordance with the philosophy of minimally invasive dentistry, it explains in detail the use of both classic and new restorative materials in various clinical situations. It also discusses the principles of smile analysis, as well the technique for esthetic composite restorations on posterior and anterior teeth, including direct and indirect veneers. In addition to richly illustrated, step-by-step descriptions of procedures, it offers essential information on basic topics, such as dental instruments and equipment, nomenclature and general principles of tooth preparation, isolation of the operating field, matrix and wedge systems, light curing, and pulpal protection. Furthermore it addresses the diagnosis of dental caries and tooth sensitivity of non-carious origin, like dentin hypersensitivity, dental erosion and cracked tooth syndrome, together with their treatment options. Also explaining the fundamental ergonomic principles of clinical practice, the book enables undergraduate students to embark on a successful professional career.

The Crosslinguistic Study Of Language Acquisition

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Author : Dan Isaac Slobin
language : en
Publisher: Psychology Press
Release Date : 2014-03-05

The Crosslinguistic Study Of Language Acquisition written by Dan Isaac Slobin and has been published by Psychology Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-05 with Language Arts & Disciplines categories.

In this final volume in the series, the contributors attempt to "expand the contexts" in which child language has been examined crosslinguistically. The chapters build on themes that have been touched on, anticipated, and promised in earlier volumes in the series. The study of child language has been situated in the disciplines of psychology and linguistics, and has been most responsive to dominant issues in those fields such as nativism and learning, comprehension and production, errors, input, and universals of morphology and syntax. The context has primarily been that of the individual child, interacting with a parent, and deciphering the linguistic code. The code has been generally treated in these volumes as a system of morphology and syntax, with little attention to phonology and prosody. Attention has been paid occasionally to the facts that the child is acquiring language in a sociocultural setting and that language is used in contexts of semantic and pragmatic communication. In addition, there has been a degree of attention paid to the interactions between language and cognition in the process of development. As for individual differences between children, they have been discussed in those studies where they could not be avoided, but such variation has rarely been the focus of systematic attention. Differences between individual languages have been of great interest, but these differences have not often been placed in a framework of systematic typological variation. And although languages and their grammars change over time, the focus of attention on the individual child learner has generally led to neglect of explanatory principles that are best found on the level of linguistic diachrony, rather than the level of innate ideas or patterns of learning and cognition in the individual child. The chapter authors seek to explore these neglected contexts in more depth.

Scientific And Technical Aerospace Reports

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Author :
language : en
Publisher:
Release Date : 1978

Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Aeronautics categories.

Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.

Cumulated Index Medicus

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Author :
language : en
Publisher:
Release Date : 1970

Cumulated Index Medicus written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Medicine categories.