Generating hypergraphs of finite groups
Group Theory
2024-04-18 v1
Abstract
In a recent paper Cameron, Lakshmanan and Ajith began an exploration of hypergraphs defined on algebraic structures, especially groups, to investigate whether this can add a new perspective. Following their suggestions, we consider suitable hypergraphs encoding the generating properties of a finite group. In particular, answering a question asked in their paper, we classified the finite solvable groups whose generating hypergraph is the basis hypergraph of a matroid.
Cite
@article{arxiv.2404.11186,
title = {Generating hypergraphs of finite groups},
author = {Andrea Lucchini},
journal= {arXiv preprint arXiv:2404.11186},
year = {2024}
}