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math.GR2024
On the generalised Saxl graphs of permutation groups
Saul D. Freedman, Hong Yi Huang, Melissa Lee +1
A base for a finite permutation group is a subset of with trivial pointwise stabiliser in , and the base size of is the smallest size of a base f…
math.GR2024
On the diameter of intersection graphs of finite groups
Melissa Lee, Kamilla Rekvényi
The intersection graph of a finite group is a simple graph with vertices the non-trivial proper subgroups of , and an edge between two vertices if their corresponding…