Symmetriegruppen und fundamentale Pflasterungen der Fläche vom Geschlecht -3. I. Maximale Gruppen mit Sechseckbereichen

Author: Stettner E.  

Publisher: Akademiai Kiado

ISSN: 0081-6906

Source: Studia Scientiarum Mathematicarum Hungarica, Vol.40, Iss.1-2, 2003-07, pp. : 41-57

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Abstract

For the non-orientable compact surface of genus 3 all the possible (discontinuous) groups of its symmetries will be given. In this first part of the paper the 8 hexagonal fundamental domains have been discussed for determining the maximal symmetry groups in a combinatorial way. The computer classification of the 65 unfoldings of the -3-surface in the former work [15] by the author will be the basic tool.