O. Helenius

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math.NT2002

Fine Structure of Class Groups $\cl^{(p)}\Q(\z_n)$ and the Kervaire--Murthy Conjectures II

Ola Helenius, Alexander Stolin

There is an Mayer-Vietoris exact sequence involving the Picard group of the integer group ring $Z C_{p^{n}}$ where $C_{p^{n}}$ is the cyclic group of order $p^{n}$ and $ζ_{n - 1}$ is a pr…

math.NT2002

Fine Structure of Class Groups of Prime Power Cyclotomic Fields and the Kervaire-Murthy Conjectures

Ola Helenius, Alexander Stolin

In 1977 Kervaire and Murthy presented three conjectures regarding $K_{0} Z C_{p^{n}}$ , where $C_{p^{n}}$ is the cyclic group of order $p^{n}$ and $p$ is a semi-regular prime. The…