The Schur-Clifford subgroup of the Brauer-Clifford group

JOURNAL OF ALGEBRA

卷:440

Article

Ladisch, Frieder

关键词: Brauer-Clifford group;    Clifford theory;    Character theory of finite groups;    Brauer group;    Schur subgroup;   

DOI  :  10.1016/j.jalgebra.2015.06.017

来源: Elsevier

【 摘 要 】

We define a Schur-Clifford subgroup of Turull's Brauer-Clifford group, similar to the Schur subgroup of the Brauer group. The Schur-Clifford subgroup contains exactly the equivalence classes coming from the intended application to Clifford theory of finite groups. We show that the Schur-Clifford subgroup is indeed a subgroup of the Brauer-Clifford group, as are certain naturally defined subsets. We also show that this Schur-Clifford subgroup behaves well with respect to restriction and corestriction maps between Brauer-Clifford groups. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free