Graph Invariants of Finite Groups via a Theorem of Lagarias
| dc.creator | Akman, Fusun | |
| dc.date | 2006-12-20 | |
| dc.date.accessioned | 2026-07-07T07:36:23Z | |
| dc.date.available | 2026-07-07T07:36:23Z | |
| dc.description | We introduce a new graph invariant of finite groups that provides a complete characterization of the splitting types of unramified prime ideals in normal number field extensions entirely in terms of the Galois group. In particular, each connected component corresponds to a division (Abteilung) of the group. We compute the divisions of the alternating group, and compile a list of characteristics of groups that the invariant reveals. We conjecture that the invariant distinguishes finite groups. Our exposition borrows elements from graph theory, group theory, and algebraic number theory. | |
| dc.description | LaTeX, 24 pages | |
| dc.identifier | https://arxiv.org/abs/math/0612618 | |
| dc.identifier | http://arxiv.org/abs/math/0612618 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/120405 | |
| dc.subject | Number Theory | |
| dc.subject | Group Theory | |
| dc.subject | 20B05; 11R32 | |
| dc.title | Graph Invariants of Finite Groups via a Theorem of Lagarias | |
| dc.type | text |