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Fields of definition for admissible groups
- Publication Year :
- 2011
-
Abstract
- A finite group G is admissible over a field M if there is a division algebra whose center is M with a maximal subfield G-Galois over M. We consider nine possible notions of being admissible over M with respect to a subfield K of M, where the division algebra, the maximal subfield or the Galois group are asserted to be defined over K. We completely determine the logical implications between all variants.<br />Comment: 11 pages. arXiv admin note: text overlap with arXiv:0911.3792
- Subjects :
- Mathematics - Rings and Algebras
Mathematics - Number Theory
16S35
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1110.4162
- Document Type :
- Working Paper