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24 April 2024
 
  » arxiv » 1409.3210

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The Schur-Clifford subgroup of the Brauer-Clifford group
Frieder Ladisch ;
Date 10 Sep 2014
AbstractWe 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.
Source arXiv, 1409.3210
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