Finite arithmetic subgroups of GL_n
| dc.creator | Mazur, Marcin | |
| dc.date | 1998-03-23 | |
| dc.date.accessioned | 2026-07-07T05:24:16Z | |
| dc.date.available | 2026-07-07T05:24:16Z | |
| dc.description | We discuss the following conjecture of Kitaoka: if a finite subgroup $G$ of $GL_{n}(O_{K})$ is invariant under the action of $Gal(K/\Bbb Q)$ then it is contained in $GL_{n}(K^{ab})$. Here $O_{K}$ is the ring of integers in a finite, Galois extension $K$ of $\Bbb Q$ and $K^{ab}$ is the maximal, abelian subextension of $K$. Our main result reduces this conjecture to a special case of elementary abelian $p-$groups $G$. Also, we construct some new examples which negatively answer a question of Kitaoka. | |
| dc.identifier | https://arxiv.org/abs/math/9803170 | |
| dc.identifier | http://arxiv.org/abs/math/9803170 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76773 | |
| dc.subject | Number Theory | |
| dc.subject | Group Theory | |
| dc.title | Finite arithmetic subgroups of GL_n | |
| dc.type | text |