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math.GR2025
Separating subsets from their images
Marco Barbieri, Maruša Lekše, Primož Potočnik +1
Let be a transitive permutation group acting on . In this paper, we introduce and study the parameter , which denotes the size of the smallest set of points …
math.GR2020★ 1 cited
On minimal degree of transitive permutation groups with stabiliser being a -group
Primoz Potocnik, Pablo Spiga
The minimal degree of a permutation group is defined as the minimal number of non-fixed points of a non-trivial element of . In this paper we show that if is a transitiv…
math.GR2014
On the orders of arc-transitive graphs
Marston D. E. Conder, Cai-Heng Li, Primoz Potocnik
A graph is called {\em arc-transitive} (or {\em symmetric}) if its automorphism group has a single orbit on ordered pairs of adjacent vertices, and 2-arc-transitive its automorphis…