M. Epkenhans's research while affiliated with Universität Paderborn and other places
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Publications (2)
Let K be an algebraic number field which contains the dth roots of unity. We will prove that all double covers of the generalized symmetric group Zd {wreath product} Sm are realizable as a Galois group over K and over K(T), if d is odd. If d is even, we will determine all double covers of Zd {wreath product} Gm which can be shown to be Galois group...
In this paper we determine trace forms of field extensions defined by trinomials Xn + aXk + b. This gives an affirmative answer to a generalization of a question of Conner and Yui. Moreover we classify all such trace forms over algebraic number fields.