Seminár z teórie grafov - Katarína Hriňáková (19.11.2015)

vo štvrtok 19.11.2015 o 9:50 hod. v miestnosti M/213


18. 11. 2015 14.16 hod.
Od: Martin Škoviera

Prednášajúca: Mgr. Katarína Hriňáková (SvF STU)

Názov prednášky: Orientably-regular maps on the group $M(q^2)$

Termín: 19.11.2015, 9:50 hod., M/213


Abstrakt:
A map is a cellular embedding of a graph into a compact surface. Regular maps are those with highest possible level of symmetry - whose automorphism groups act regularly on their flag sets. In this talk we will present an enumeration of orientably-regular maps with automorphism group isomorphic to the group $M(q^2)$ - so called twisted linear fractional group. We will also mention some open questions about external symmetries (e.g. self-duality) of these regular maps.
(This is a joint work with G. Erskine and J. Širáň.)