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math.GR2024
Permutation groups, partition lattices and block structures
Marina Anagnostopoulou-Merkouri, R. A. Bailey, Peter J. Cameron
Let be a transitive permutation group on . The -invariant partitions form a sublattice of the lattice of all partitions of , 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 -tuple of core-free subgroups of a finite group is said to be regular if has a regular orbit on the Cartesian product $G/H_1 \times \cdots \times…