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Symmetries of Equivelar 4-Toroids |
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| Authors: | Isabel Hubard Alen Orbani? Daniel Pellicer Asia Ivi??Weiss |
| Affiliation: | 1. Instituto de Matem??ticas, Universidad Nacional Aut??noma de M??xico, Mexico City, Mexico 2. Faculty of Mathematics and Physics, University of Ljubljana, Ljubljana, Slovenia 3. Centro de Ciencias Matem??ticas, Universidad Nacional Aut??noma de M??xico, Morelia, Mexico 4. Fields Institute, Toronto, Canada 5. Department of Mathematics and Statistics, York University, Toronto, Canada |
| Abstract: | We derive some general results on the symmetries of equivelar toroids and provide detailed analysis of the subgroup lattice structure of the dihedral group D 4 and of the octahedral group to complete classification by symmetry type of those in ranks 3 and 4. |
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