The Generalized Fitting Subsystem of a Fusion System

Author:   Michael Aschbacher
Publisher:   American Mathematical Society
Volume:   209, 986
ISBN:  

9780821853030


Pages:   110
Publication Date:   28 February 2011
Format:   Paperback
Availability:   Temporarily unavailable   Availability explained
The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you.

Our Price $134.20 Quantity:  
Add to Cart

Share |

The Generalized Fitting Subsystem of a Fusion System


Add your own review!

Overview

The notion of a fusion system was first defined and explored by Puig, in the context of modular representation theory. Later, Broto, Levi, and Oliver extended the theory and used it as a tool in homotopy theory. 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. Among other results, he defines the notion of a simple system, the generalized Fitting subsystem of a fusion system, and prove the L-balance theorem of Gorenstein and Walter for fusion systems. He defines a notion of composition series and composition factors and proves a Jordon-Hölder theorem for fusion systems.|The notion of a fusion system was first defined and explored by Puig, in the context of modular representation theory. Later, Broto, Levi, and Oliver extended the theory and used it as a tool in homotopy theory. 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. Among other results, he defines the notion of a simple system, the generalized Fitting subsystem of a fusion system, and prove the L-balance theorem of Gorenstein and Walter for fusion systems. He defines a notion of composition series and composition factors and proves a Jordon-Hölder theorem for fusion systems.

Full Product Details

Author:   Michael Aschbacher
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   209, 986
Weight:   0.180kg
ISBN:  

9780821853030


ISBN 10:   0821853031
Pages:   110
Publication Date:   28 February 2011
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Temporarily unavailable   Availability explained
The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you.

Table of Contents

Reviews

Author Information

Michael Aschbacher, California Institute of Technology, Pasadena, CA

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions
Latest Reading Guide

Aorrng

Shopping Cart
Your cart is empty
Shopping cart
Mailing List