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## Abstract

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*n*-th multiplicative derived subgroup, such that*F(a)*is a maximal subfield of*D*. We also show the statement holds valid if we replace*D*^{(n)}with*D*_{n}, the*n*-th additive derived subgroup in case*D*is of characteristic zero.Original language | English |
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Publisher | ArXiv |

Number of pages | 6 |

Publication status | Submitted - 28 Aug 2017 |

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## Projects

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