Symmetries and reversing symmetries of trace maps
| dc.creator | Baake, Michael | |
| dc.creator | Roberts, John A. G. | |
| dc.date | 1999-01-27 | |
| dc.date.accessioned | 2026-07-07T05:27:40Z | |
| dc.date.available | 2026-07-07T05:27:40Z | |
| dc.description | A (discrete) dynamical system may have various symmetries and reversing symmetries, which together form its so-called reversing symmetry group. We study the set of 3D trace maps (obtained from two-letter substitution rules) which preserve the Fricke-Vogt invariant I(x,y,z). This set of dynamical systems forms a group G isomorphic with the projective linear (or modular) group PGL(2,Z). For such trace maps, we give a complete characterization of the reversing symmetry group as a subgroup of the group A of all polynomial mappings that preserve I(x,y,z). | |
| dc.description | 5 pages; originally written for the proceedings of the 3rd Intern. Wigner Symposium (Oxford, 1993); since they will not be in print this millennium (and prob. neither in the next), better download from here | |
| dc.identifier | https://arxiv.org/abs/math/9901124 | |
| dc.identifier | http://arxiv.org/abs/math/9901124 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78007 | |
| dc.subject | Dynamical Systems | |
| dc.title | Symmetries and reversing symmetries of trace maps | |
| dc.type | text |