Fusion Systems In Algebra And Topology
DOWNLOAD
FREE 30 Days
Download Fusion Systems In Algebra And Topology PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Fusion Systems In Algebra And Topology book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Fusion Systems In Algebra And Topology
DOWNLOAD
FREE 30 Days
Author : Michael Aschbacher
language : en
Publisher: Cambridge University Press
Release Date : 2011-08-25
Fusion Systems In Algebra And Topology written by Michael Aschbacher and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-25 with Mathematics categories.
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.
Fusion Systems In Algebra And Topology
DOWNLOAD
FREE 30 Days
Author : Michael Aschbacher
language : en
Publisher:
Release Date : 2014-05-14
Fusion Systems In Algebra And Topology written by Michael Aschbacher and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with MATHEMATICS categories.
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.
The Theory Of Fusion Systems
DOWNLOAD
FREE 30 Days
Author : David A. Craven
language : en
Publisher: Cambridge University Press
Release Date : 2011-06-23
The Theory Of Fusion Systems written by David A. Craven and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-23 with Mathematics categories.
The first book to deal comprehensively with the theory of fusion systems.
Rank 2 Amalgams And Fusion Systems
DOWNLOAD
FREE 30 Days
Author : Martin van Beek
language : en
Publisher: Springer
Release Date : 2024-04-22
Rank 2 Amalgams And Fusion Systems written by Martin van Beek and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-22 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.
On Fusion Systems Of Component Type
DOWNLOAD
FREE 30 Days
Author : Michael Aschbacher
language : en
Publisher: American Mathematical Soc.
Release Date : 2019-02-21
On Fusion Systems Of Component Type written by Michael Aschbacher 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 2019-02-21 with categories.
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.
Quaternion Fusion Packets
DOWNLOAD
FREE 30 Days
Author : Michael Aschbacher
language : en
Publisher: American Mathematical Soc.
Release Date : 2021-04-01
Quaternion Fusion Packets written by Michael Aschbacher 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 2021-04-01 with Education categories.
Let p p be a prime and S S a finite p p-group. A p p-fusion system on S S is a category whose objects are the subgroups of S and whose morphisms are certain injective group homomorphisms. Fusion systems are of interest in modular representation theory, algebraic topology, and local finite group theory. The book provides a characterization of the 2-fusion systems of the groups of Lie type and odd characteristic, a result analogous to the Classical Involution Theorem for groups. The theorem is the most difficult step in a two-part program. The first part of the program aims to determine a large subclass of the class of simple 2-fusion systems, while part two seeks to use the result on fusion systems to simplify the proof of the theorem classifying the finite simple groups.
Quaternion Fusion Packets
DOWNLOAD
FREE 30 Days
Author : Michael Aschbacher
language : en
Publisher:
Release Date : 2021
Quaternion Fusion Packets written by Michael Aschbacher and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with Electronic books categories.
Reduced Fusion Systems Over 2 Groups Of Sectional Rank At Most 4
DOWNLOAD
FREE 30 Days
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 Algebraic topology 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.
The Generalized Fitting Subsystem Of A Fusion System
DOWNLOAD
FREE 30 Days
Author : Michael Aschbacher
language : en
Publisher: American Mathematical Soc.
Release Date : 2011-01-20
The Generalized Fitting Subsystem Of A Fusion System written by Michael Aschbacher 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 2011-01-20 with Mathematics categories.
Here, the author seeks to build a local theory of fusion systems, analogous to the local theory of finite groups, involving normal subsystems and factor systems.
Rank 2 Amalgams And Fusion Systems
DOWNLOAD
FREE 30 Days
Author : Martin van Beek
language : en
Publisher: Springer Nature
Release Date :
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 with categories.