Corestriction for algebras with group action

JOURNAL OF ALGEBRA

卷:439

Article

Ladisch, Frieder

关键词: Brauer-Clifford group;    Equivariant Brauer group;    Corestriction;    Tensor induction;    G-algebras;    Azumaya algebras;   

DOI  :  10.1016/j.jalgebra.2015.06.015

来源: Elsevier

【 摘 要 】

We define a corestriction map for equivariant Brauer groups in the sense of Frohlich and Wall, which contain as a special case the Brauer-Clifford groups introduced by Turull. We show that this corestriction map has similar properties as the corestriction map in group cohomology (especially Galois cohomology). In particular, composing corestriction and restriction associated to a subgroup H <= G amounts to powering with the index vertical bar G : H vertical bar. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

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