Seminár z algebraickej teórie grafov - Dominika Mihálová (27.10.2023)

v piatok 27.10.2023 o 13:00 hod. v posluchárni M VIII aj online

24. 10. 2023 11.32 hod.
Od: Martin Mačaj

Prednášajúci: Dominika Mihálová

Názov: Constructions of Hypergraphical Regular Representations via $k$-uniform Hypergraphs of Certain Groups of Order Greater than $32$

Termín: 27.10.2023, 13:00 hod., M VIII a MS Teams

Abstrakt:
We explores the problem of hypergraphical regular representation of finite group $G$ via $k$-uniform hypergraph. A hypergraphical regular representation preserves the group's structure within the hypergraph. We build upon previous research and investigates hypergraphical regular representations of certain groups of orders greater than $32$. We present an algorithm based on methods by Mihálová and Erskine and Tuite. The algorithm is implemented in the computational system \emph{GAP} to find hypergraphical regular representations for certain groups. The results include a table with groups for which hypergraphical regular representations via $k$-uniform hypergraphs were obtained.

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