Geometric Characterization of Property R
| dc.creator | Ritter, William Gordon | |
| dc.date | 2003-08-02 | |
| dc.date | 2004-02-12 | |
| dc.date.accessioned | 2026-07-07T05:00:01Z | |
| dc.date.available | 2026-07-07T05:00:01Z | |
| dc.description | Consider pairs of the form (G, N), with G a group and N \normal G, as objects of a category \PG. A morphism (G_1, N_1) \To (G_2, N_2) will be a group homomorphism f : G_1 \To G_2 such that f(N_1) \subset N_2. We introduce a functor Q : \PG \To \Groups, which provides a geometric definition of Property R, since it is most naturally visualized by means of a directed graph. We compute these graphs for a number of finite groups of small order, and prove a general characterization of the graphs which occur in this way. | |
| dc.description | 8 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/math/0308013 | |
| dc.identifier | http://arxiv.org/abs/math/0308013 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68226 | |
| dc.subject | Group Theory | |
| dc.subject | Combinatorics | |
| dc.subject | 05C25 | |
| dc.title | Geometric Characterization of Property R | |
| dc.type | text |