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math.GR2024
On derangements in simple permutation groups
Timothy C. Burness, Marco Fusari
Let be a finite transitive permutation group and recall that an element in is a derangement if it has no fixed points on . Let be the set o…
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…