Details

Autor(en) / Beteiligte

• Shahoseini, Ehsan
• Maarefparvar, Abbas

Titel

The S-Relative Pólya Groups and S-Ostrowski Quotients of Number Fields

Ist Teil von

• Bulletin of the Iranian Mathematical Society, 2024-04, Vol.50 (2)

Ort / Verlag

Singapore: Springer Nature Singapore

Erscheinungsjahr

2024

Link zum Volltext

Quelle

SpringerLink (Online service)

Beschreibungen/Notizen

• Let K / F be a finite extension of number fields and S be a finite set of primes of F , including all the Archimedean ones. In this paper, using some results of González-Avilés (J Reine Angew Math 613:75–97, 2007), we generalize the notions of the relative Pólya group Po ( K / F ) (Chabert in J Number Theory 203:360–375, 2019; Maarefparvar and Rajaei in J Number Theory 207:367-384, 2020) and the Ostrowski quotient Ost ( K / F ) (Shahoseini et al. in Pac J Math 321(2):415–429, 2022) to their S -versions. Using this approach, we obtain generalizations of some well-known results on the S -capitulation map, including an S -version of Hilbert’s Theorem 94.