Marina Anagnostopoulou-Merkouri

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20212025

most citedProperties of Congruence Lattices of Graph Inverse Semigroups

1 citations · 1 across the 6 of their papers we have counts for

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math.GR2025

On a generalisation of Cameron's base size conjecture

Marina Anagnostopoulou-Merkouri

Let $G ⩽ Sym (Ω)$ be a finite transitive permutation group with point stabiliser $H$ . A base for $G$ is a subset of $Ω$ whose pointwise stabiliser is trivial, and the m…

math.GR2024

Permutation groups, partition lattices and block structures

Marina Anagnostopoulou-Merkouri, R. A. Bailey, Peter J. Cameron

Let $G$ be a transitive permutation group on $Ω$ . The $G$ -invariant partitions form a sublattice of the lattice of all partitions of $Ω$ , having the further property that all its e…

math.GR2024

On the regularity number of a finite group and other base-related invariants

Marina Anagnostopoulou-Merkouri, Timothy C. Burness

A $k$ -tuple $(H_{1}, \dots, H_{k})$ of core-free subgroups of a finite group $G$ is said to be regular if $G$ has a regular orbit on the Cartesian product $G/H_1 \times \cdots \times…

math.GR2023

Pre-primitive permutation groups

Marina Anagnostopoulou-Merkouri, Peter J. Cameron, Enoch Suleiman

A transitive permutation group $G$ on a finite set $Ω$ is said to be pre-primitive if every $G$ -invariant partition of $Ω$ is the orbit partition of a subgroup of $G$ . It follows t…