Alperin weight conjecture and related developments-Reference-Cited by-同舟云学术

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Alperin weight conjecture and related developments

Published:2022-07-28 Issue:03 Volume:12 Page:
ISSN:1664-3607
Container-title:Bulletin of Mathematical Sciences
language:en
Short-container-title:Bull. Math. Sci.

Author:

Feng Zhicheng¹,Zhang Jiping²³

Affiliation:

1. School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, P. R. China

2. SICM, Southern University of Science and Technology, Shenzhen 518055, P. R. China

3. School of Mathematical Sciences, Peking University, Beijing 100871, P. R. China

Abstract

The Alperin weight conjecture is central to the modern representation theory of finite groups, and it is still open, despite many different approaches from different points of view. This paper surveys methods and results relating the Alperin weight conjecture, especially the recent developments in the inductive investigation.

Funder

National Natural Science Foundation of China

Publisher

World Scientific Pub Co Pte Ltd

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1664360722300055

Reference194 articles.

1. THE MAIN PROBLEM OF BLOCK THEORY

2. Weights for finite groups

3. Local Methods in Block Theory

4. Weights for symmetric and general linear groups

5. 2-Weights for general linear groups

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Morita equivalences and the inductive blockwise Alperin weight condition for type;Transactions of the American Mathematical Society;2023-06-22

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