Certain simple maximal subfields in division rings
Let D be a division ring finite dimensional over its center F. The goal of this paper is to prove that for any positive integer n there exists a ∈ D(n), the nth multiplicative derived subgroup such that F(a) is a maximal subfield of D. We also show that a single depth-n iterated additive commutator would generate a maximal subfield of D.
Keywordsdivision ring rational identity maximal subfield
MSC 201016K20 16R50 17A35
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- B. X. Hai, T. H. Dung, M. H. Bien: Almost subnormal subgroups in division rings with generalized algebraic rational identities. Available at https://doi.org/abs/1709.04774.