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cs.SC2017★ 2 cited
Functional Decomposition using Principal Subfields
Luiz E. Allem, Juliane Capaverde, Mark van Hoeij +1
Let be a univariate rational function. It is well known that any non-trivial decomposition , with , corresponds to a non-trivial subfield $K(f(t…
cs.SC2016
The Complexity of Computing all Subfields of an Algebraic Number Field
Jonas Szutkoski, Mark van Hoeij
For a finite separable field extension K/k, all subfields can be obtained by intersecting so-called principal subfields of K/k. In this work we present a way to quickly compute the…