Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem.
Praeger’s Theorem on Bounded Movement : Let G be a permutation group acting without fixed points on a set Ω. Denote by m the maximum size of any subset Γ ⊆ Ω whose image under some group element is disjoint from Γ; and suppose that m is finite. Then Ω is a finite set; the number t of G orbits is at most 2m − 1; each orbit has length at most 3m; and |Ω| ≤ 3m + t − 1 ≤ 5m − 2.
Theorem of the Day (March 15, 2026) : Praeger’s Theorem on Bounded Movement
Source : Theorem of the Day / Robin Whitty
pdf : buff.ly/OjxKS72
notes : buff.ly/tL31ux6
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