The Inductive Blockwise Alperin Weight Condition for the Chevalley Groups $F_4(q)$
Published on 31. March 2025
Book
Paperback/Softback
142 pages
978-1-4704-7222-1 (ISBN)
Description
The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
ISBN-13
978-1-4704-7222-1 (9781470472221)
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Schweitzer Classification
Persons
Jianbei An, The University of Auckland, New Zealand, Gerhard Hiss, RWTH Aachen University, Germany.
Frank Lubeck, RWTH Aachen University, Germany.
Frank Lubeck, RWTH Aachen University, Germany.
Content
Chapters
1. Introduction
2. Notation and preliminaries
3. Finite reductive groups
4. The group $F_4(q)$ and some of its Levi subgroups
5. The blocks of $F_4(q)$
6. Radical $3$-subgroups and defect groups of $F_4(q)$
7. Alperin's blockwise weight conjecture for $F_4(q)$
8. The action of the automorphism group on the set of weights
A. Tables
1. Introduction
2. Notation and preliminaries
3. Finite reductive groups
4. The group $F_4(q)$ and some of its Levi subgroups
5. The blocks of $F_4(q)$
6. Radical $3$-subgroups and defect groups of $F_4(q)$
7. Alperin's blockwise weight conjecture for $F_4(q)$
8. The action of the automorphism group on the set of weights
A. Tables