MORITA EQUIVALENCES AND THE INDUCTIVE BLOCKWISE ALPERIN WEIGHT CONDITION FOR TYPE A

Feng, Zhicheng1,2,3; Li, Zhenye4; Zhang, Jiping2,3,5

2023-06-01

10.1090/tran/8972

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY   影响因子和分区

0002-9947

1088-6850

As a step to establish the blockwise Alperin weight conjecture for all finite groups, we verify the inductive blockwise Alperin weight condition introduced by Navarro-Tiep and Spa & BULL;th for simple groups of Lie type A, split or twisted. Key to the proofs is to reduce the verification of the inductive condition to the isolated (that means unipotent) blocks, using the Jordan decomposition for blocks of finite reductive groups given by Bonnafe & PRIME;, Dat and Rouquier.

Alperin weight conjecture inductive condition groups of type A

SCI

英语

其他

NSFC["12001032","12271446","11901028","11631001"] ; National Key Ramp;D Program of China[2020YFE0204200]

Mathematics

Mathematics

WOS:001017649600001

AMER MATHEMATICAL SOC

MATHEMATICS

Web of Science

1.Univ Sci & Technol Beijing, Sch Math & Phys, Beijing 100083, Peoples R China
2.Southern Univ Sci & Technol, SICM, Shenzhen 518055, Peoples R China
3.Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Peoples R China
4.Beijing Univ Chem Technol, Coll Math & Phys, Beijing 100029, Peoples R China
5.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

Feng, Zhicheng,Li, Zhenye,Zhang, Jiping. MORITA EQUIVALENCES AND THE INDUCTIVE BLOCKWISE ALPERIN WEIGHT CONDITION FOR TYPE A[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,2023,376(9).

Feng, Zhicheng,Li, Zhenye,&Zhang, Jiping.(2023).MORITA EQUIVALENCES AND THE INDUCTIVE BLOCKWISE ALPERIN WEIGHT CONDITION FOR TYPE A.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,376(9).

Feng, Zhicheng,et al."MORITA EQUIVALENCES AND THE INDUCTIVE BLOCKWISE ALPERIN WEIGHT CONDITION FOR TYPE A".TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 376.9(2023).