Seminár z algebraickej teórie grafov - Martin Bachratý (24.4.2026)

v piatok 24.4.2026 o 13:15 hod. v miestnosti M IX (aj online)

---

Prednášajúci: Martin Bachratý (STU Bratislava)

Názov prednášky: Skew morphisms of cyclic 2-groups

Termín: 24.4.2026, 13:15 hod., M IX, MS Teams

Abstrakt:
Skew morphisms are permutations of finite groups that generalise group automorphisms, and they lie at the intersection of map theory and group factorizations. The classification and enumeration of skew morphisms for various families of finite groups is a central problem in the area, and has been carried out for several notable families, including simple groups, dihedral groups, and cyclic p-groups with p odd. The case of cyclic 2-groups has resisted the same treatment — until now. After explaining the connections between Cayley maps, group factorizations, and skew morphisms, we present a complete enumeration of skew morphisms of cyclic 2-groups, completing the enumeration for all cyclic p-groups by treating the remaining case p=2.

The speaker acknowledges funding from the EU NextGenerationEU through the Recovery and Resilience Plan for Slovakia under the project No. 09I03-03-V04-00272.

 

 

---