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Rank 2 Amalgams and Fusion Systems by Martin van Beek at Abbey's Bookshop,
Rank 2 Amalgams and Fusion Systems
— —
Martin van Beek

Rank 2 Amalgams and Fusion Systems

Martin van Beek

$125.95   $100.80

Paperback

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English
Springer International Publishing AG
20 April 2024
Groups & group theory; Algebraic topology; Combinatorics & graph theory
Series: Lecture Notes in Mathematics
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.
By:  
Imprint:   Springer International Publishing AG
Country of Publication:   Switzerland
Edition:   1st ed. 2024
Volume:   2343
Dimensions:   Height: 235mm,  Width: 155mm, 
ISBN:   9783031544606
ISBN 10:   3031544609
Series:   Lecture Notes in Mathematics
Pages:   206
Publication Date:  
Audience:   Professional and scholarly ,  Undergraduate
Format:   Paperback
Publisher's Status:   Active

Martin van Beek is a Heilbronn Research Fellow at the University of Manchester. His main research interest is finite group theory and its interactions with other areas of mathematics, such as algebraic topology and representation theory. He is fascinated by the study of p-local structure in finite groups, and how to use this data to garner useful global information. Previously, he was a postdoctoral researcher at the University of Birmingham, where he also completed his PhD.

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