Baake, Michael; Neumärker, Natascha: Orbit structure and (reversing) symmetries of toral endomorphisms on rational lattices. In: Discrete and continuous dynamical systems A. Jg.33 H. 2. 2012, S. 527-553
Inhalt
- 2. Preliminaries and powers of integer matrices
- 2.1. Lattices, rings and groups
- 2.2. Orbit counts and generating functions
- 2.3. Matrix order on lattices and plateau phenomenon
- 2.4. Powers of integer matrices
- 2.5. Results for d=2
- 3. Orbit pretail structure of toral endomorphisms
- 4. Symmetry and reversibility
- 4.1. Reversibility of `39`42`"613A``45`47`"603ASL(2,Z)-matrices mod n
- 4.2. Reversibility in `39`42`"613A``45`47`"603AGL(2,Fp)
- 4.3. Some extensions to higher dimensions
- 4.4. Reversibility mod n
- 4.5. Matrix order and symmetries over Fp
- Appendix: Two classic examples
- Acknowledgments
- REFERENCES