Virtual Morita equivalences and Brauer character bijections

Huang, Xin1,2

2024-05-01

10.1007/s00013-024-02010-z

ARCHIV DER MATHEMATIK   影响因子和分区

0003-889X

1420-8938

We extend a theorem of Kessar and Linckelmann concerning Morita equivalences and Galois compatible bijections between Brauer characters to virtual Morita equivalences. As a corollary, we obtain that the block version of Navarro's refinement of Alperin's weight conjecture holds for blocks with cyclic and Klein four defect groups, blocks of symmetric and alternating groups with abelian defect groups, and p-Blocks of SL2(q) and GL(2)(q), where p vertical bar q.

Finite groups p-Blocks Virtual Morita equivalences Brauer characters Alperin's weight conjecture Navarro's conjecture

SCI

英语

通讯

China Postdoctoral Science Foundation[2023T160290]

Mathematics

Mathematics

WOS:001235077200002

SPRINGER BASEL AG

MATHEMATICS

Web of Science

1.Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China
2.Southern Univ Sci & Technol, Shenzhen Int Ctr Math, Shenzhen 518055, Peoples R China

Huang, Xin. Virtual Morita equivalences and Brauer character bijections[J]. ARCHIV DER MATHEMATIK,2024.

Huang, Xin.(2024).Virtual Morita equivalences and Brauer character bijections.ARCHIV DER MATHEMATIK.

Huang, Xin."Virtual Morita equivalences and Brauer character bijections".ARCHIV DER MATHEMATIK (2024).