On even $K$-groups of rings of integers of real abelian fields
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866916954415038464 |
|---|---|
| author | Lim, Meng Fai Qin, Chao |
| author_facet | Lim, Meng Fai Qin, Chao |
| contents | We present approaches for calculating the precise orders of the algebraic $K$-groups $K_{4n-2}(\mathcal{O}_K)$ for a totally real abelian $K$. Along the way, we also establish a formula connecting the order of $K_{4n-2}(\mathcal{O}_E)$ of a totally real $p$-elementary field $E$ to its intermediate cyclic $p$-degree fields. Additionally, we provide a compiled list of values for these $K$-groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_13796 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On even $K$-groups of rings of integers of real abelian fields Lim, Meng Fai Qin, Chao Number Theory We present approaches for calculating the precise orders of the algebraic $K$-groups $K_{4n-2}(\mathcal{O}_K)$ for a totally real abelian $K$. Along the way, we also establish a formula connecting the order of $K_{4n-2}(\mathcal{O}_E)$ of a totally real $p$-elementary field $E$ to its intermediate cyclic $p$-degree fields. Additionally, we provide a compiled list of values for these $K$-groups. |
| title | On even $K$-groups of rings of integers of real abelian fields |
| topic | Number Theory |
| url | https://arxiv.org/abs/2509.13796 |