The functor of complex characters of finite groups

JOURNAL OF ALGEBRA

卷:562

Article

Arslan, Mehmet¹  Coskun, Olcay² 

[1] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA

[2] Bogazici Univ, Dept Math, Istanbul, Turkey

关键词: Fibered biset functors;    Character rings;    Primitive characters;    p-permutation modules;   

DOI  :  10.1016/j.jalgebra.2020.06.021

来源: Elsevier

【 摘 要 】

We determine the structure of the fibered biset functor sending a finite group G to the complex vector space of complex valued class functions of G. Previously, it is studied as a biset functor by Bouc and as a C-x-fibered biset functor by Boltje and the second author. In this paper, we complete the study by considering proper non-trivial subgroups of C-x as the fiber group. As a corollary, we obtain a (previously known) set of composition factors of the biset functor of p-permutation modules. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free