Seminar der Forschergruppe 'Symmetrie, Geometrie und Arithmetik'

Let be a number field with ring of integers O_F, and let G be a finite group. We shall describe a K-theoretic approach to studying the set of realisable classes in the locally free class group of O_F[G]. This involves a new sort of Hasse principle for relative K-groups. When G is nilpotent, we show that the set of realisable classes is a subgroup of the locally free class group of O_F[G]. This may be viewed as being an analogue of a classical theorem of Scholz and Reichardt on the inverse Galois problem for nilpotent groups in the setting of Galois module theory. This is joint work with L. McCulloh (Urbana).

Freitag, den 18. Dezember 2015 um 14:45 Uhr, in INF288, HS2 Freitag, den 18. Dezember 2015 at 14:45, in INF288, HS2

Der Vortrag folgt der Einladung von The lecture takes place at invitation by Professor Dr. Otmar Venjakob