References of "Perissinotto, Flavio 50042789"
     in
Bookmark and Share    
Full Text
See detailKummer theory for products of one-dimensional tori
Perissinotto, Flavio UL; Perucca, Antonella UL

E-print/Working paper (n.d.)

Let T be a finite product of one-dimensional tori defined over a number field K. We consider the torsion-Kummer extension K(T[nt], (1/n)G), where n,t are positive integers and G is a finitely generated ... [more ▼]

Let T be a finite product of one-dimensional tori defined over a number field K. We consider the torsion-Kummer extension K(T[nt], (1/n)G), where n,t are positive integers and G is a finitely generated group of K-points on T. We show how to compute the degree of K(T[nt], (1/n)G) over K and how to determine whether T is split over such an extension. If K=Q, then we may compute at once the degree of the above extensions for all n and t. [less ▲]

Detailed reference viewed: 30 (2 UL)
Full Text
See detailKummer theory for multiquadratic or quartic cyclic number fields
Perissinotto, Flavio UL; Perucca, Antonella UL

E-print/Working paper (n.d.)

Detailed reference viewed: 71 (10 UL)