Fields of definition for admissible groups

Details Fields of definition for admissible groups Fields of definition for admissible groups

2011-10-19

arxiv.org/abs/1110.4162v1

Mathematics

Rings and Algebras

11 pages. arXiv admin note: text overlap with arXiv:0911.3792

Scientific paper

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.

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