Abstract
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.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.