arXiv subjects

Burcu Baran

Publications and source records attributed to Burcu Baran.

2 recordsLinked to original sources

arXiv2009

Fitting ideals and the Gorenstein property

Let p be a prime number and G be a finite commutative group such that p^{2} does not divide the order of G. In this note we prove that for every finite module M over the group ring Z_{p}[G], the inequality #M \leq #Z_{p}[G]/Fit_{Z_{p}[G]}(M) holds. Here, Fit_{Z_{p}[G]}(M) is the Z_{p}[G]-Fitting ideal of M.

math.AC↗

arXiv2009

A Modular Curve of Level 9 and the Class Number One Problem

In this note we give an explicit parametrization of the modular curve associated to the normalizer of a non-split Cartan subgroup of level 9. We determine all integral points of this modular curve. As an application, we give an alternative solution to the class number one problem.

math.NT↗