“School of Mathematics”
Back to Papers HomeBack to Papers of School of Mathematics
| Paper IPM / M / 17254 | ||||||||||||||||||||||
|
||||||||||||||||||||||
| Abstract: | ||||||||||||||||||||||
|
For L/K a finite Galois extension of number fields, the relative P\'olya group Po(L/K) coincides with the group of strongly ambiguous ideal classes in L/K. In this paper, using a well-known exact sequence related to Po(L/K) in the works of Brumer-Rosen and Zantema, we find short proofs for some classical results in the literature. Then we define the ``Ostrowski quotient'' Ost(L/K) as the cokernel of the capitulation map into Po(L/K) and generalize some known results for Po(L/Q) to Ost(L/K).
Download TeX format |
||||||||||||||||||||||
| back to top | ||||||||||||||||||||||
