On Hilbert divisors of Brauer characters

JOURNAL OF ALGEBRA

卷:558

Article

Liu, Yanjun¹  Willems, Wolfgang^2,3 

[1] Jiangxi Normal Univ, Coll Math & Informat Sci, Nanchang, Jiangxi, Peoples R China

[2] Otto von Guericke Univ, Fak Math, Magdeburg, Germany

[3] Univ Norte, Dept Matemat, Barranquilla, Colombia

关键词: Block;    Defect;    Cartan matrix;    Brauer character;    Hilbert divisor;    Green correspondent;   

DOI  :  10.1016/j.jalgebra.2019.05.012

来源: Elsevier

【 摘 要 】

The Hilbert divisor p(a(phi)) of an irreducible p-Brauer character phi of a finite group G carries deep information about phi, respectively the module affording phi. In [8] we conjectured that phi belongs to a p-block of defect 0 if and only if its Hilbert divisor is 1. In this note we continue our investigations. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free