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math.NT2023
Solvable extensions of number fields ramified at only one prime are Ostrowski
Ali Rajaei, Ehsan Shahoseini
In this note, we show that, under a certain condition, solvable extensions of number fields ramifed at only one prime are Ostrowski. As a corollary, we deduce a generalization of H…
math.NT2021★ 3 cited
Ostrowski quotients for finite extensions of number fields
Ehsan Shahoseini, Ali Rajaei, Abbas Maarefparvar
For a finite Galois extension of number fields, the relative Pólya group $\Po(L/K)$ coincides with the group of strongly ambiguous ideal classes in . In this paper, usin…
math.NT2018
Relative Polya Group and Polya Dihedral Extensions of Q
Ali Rajaei, Abbas Maarefparvar
We define the relative Polya group for a finite extension of number fields and prove triviality of the relative Polya group for the Hilbert class field. Then we generalize our prev…