May 24, 2019   7:30 a.m. Ela
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Symmetric maps

Supervisor: prof. RNDr. Jozef Širáň, DrSc.


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This page shows details on the project. The primary projects are displayed together with a list of sub-projects.

Project description:The project addresses open problems in the theory of highly symmetric representations of combinatorial structures on surfaces. Emphasis will be given on regular and orientably regular maps and on the operators of duality, Petrie duality and taking powers coprime with the degree of a map. Regular maps invariant with respect to all these operators are totally symmetric and such operators form the group of external symmetries of a map.The expected outcomes of the project include results on totally symmetric maps and their groups of external symmetries, the existence of orientably regular maps of any hyperbolic type with no non-trivial external symmetries, classification of regular maps on a given surface with a prescribed structure of the automorphism group, and representations of combinatorial structures by means of symmetric and Cayley maps.
Kind of project:VEGA ()
Department:Department of Mathematics and Constructive Geometry (FCE)
Project identification:1/0007/14
Project status:Successfully completed
Project start date :01. 01. 2014
Project close date:31. 12. 2016
Number of workers in the project:2
Number of official workers in the project:0