A. Maarefparvar

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math.NT2025

PÃ³lya-Ostrowski Group and Unit Index in Real Biquadratic Fields

Huda Naeem Hleeb Al-Jabbari, Abbas Maarefparvar

The PÃ³lya-Ostrowski group of a Galois number field $K$ , is the subgroup $P o (K)$ of the ideal class group $C l (K)$ of $K$ generated by the classes of all the strongly ambiguous idea…

math.NT2025

Number Fields With Large PÃ³lya Groups

Amir Akbary, Abbas Maarefparvar

The PÃ³lya group $Po (K)$ of a number field $K$ is the subgroup of the ideal class group $Cl (K)$ of $K$ generated by the classes of all the products of the prime ideals…

math.NT2024

On PÃ³lya groups of some non-Galois number fields

Abbas Maarefparvar

We prove two conjectures proposed by Chabert and Halberstadt concerning PÃ³lya groups of $S_{4}$ -fields and $D_{4}$ -fields. More generally, the latter will be proved for $D_{n}$ -fields w…