Maximal subfields in division algebras generated by images of polynomials

Le Qui Danh, Trinh Thanh Deo

Let $D$ be a division ring with center $F$, $f(x_1,x_2,\dots ,x_m)$ a non-central multilinear polynomial over $F$, and $w(x_1,x_2,\dots ,x_m)$ a non-trivial word. In this paper, we…