On the calculation of local invariants of irreducible characters

JOURNAL OF ALGEBRA

卷:557

Article

Turull, Alexandre¹ 

[1] Univ Florida, Dept Math, Gainesville, FL 32611 USA

关键词: Brauer group;    Finite groups;    Representations;    Schur index;   

DOI  :  10.1016/j.jalgebra.2020.03.032

来源: Elsevier

【 摘 要 】

Let K be a finite extension of the field Q(p) of p-adic numbers. Let chi be an irreducible character of a finite group whose values are in K. Associated with chi and K is an element of the Brauer group of K, and therefore by standard results a local invariant in Q/Z. The paper defines some classes of finite groups, that the paper calls p-basic groups, and gives formulas to calculate the local invariant of their characters. It also shows how one can calculate the local invariant of any irreducible character of any finite group that has values in K by reducing the problem to the case where the groups are p-basic and using the explicit formulas given in the paper. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free