Trivial source characters in blocks with cyclic defect groups

JOURNAL OF ALGEBRA

卷:574

Article

Koshitani, Shigeo¹  Kunugi, Naoko² 

[1] Chiba Univ, Ctr Frontier Sci, Inage Ku, 1-33 Yayoi Cho, Chiba 2638522, Japan

[2] TU Kaiserslautern, FB Math, Postfach 3049, D-67653 Kaiserslautern, Germany

关键词: Blocks with cyclic defect groups;    Ordinary characters;    Brauer trees;    Source-algebra equivalences;    Trivial source modules;    p-Permutation modules;    Vertices and sources;    Endo-permutation modules;    Nilpotent blocks;   

DOI  :  10.1016/j.jalgebra.2021.01.020

来源: Elsevier

【 摘 要 】

We describe the ordinary characters of trivial source modules lying in blocks with cyclic defect groups relying on their recent classification in terms of paths on the Brauer tree by G. Hiss and the second author. In particular, we show how to recover the exceptional constituents of such characters using the source algebra of the block. (C) 2021 Elsevier Inc. All rights reserved.

【 授权许可】

Free