Displaying similar documents to “Highly transitive subgroups of the symmetric group on the natural numbers”

The structure of transitive ordered permutation groups

Zhu, Zuo-Tong, Huang Zhenyu (1999)

Czechoslovak Mathematical Journal

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We give some necessary and sufficient conditions for transitive l -permutation groups to be 2 -transitive. We also discuss primitive components and give necessary and sufficient conditions for transitive l -permutation groups to be normal-valued.

Hexavalent ( G , s ) -transitive graphs

Song-Tao Guo, Xiao-Hui Hua, Yan-Tao Li (2013)

Czechoslovak Mathematical Journal

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Let X be a finite simple undirected graph with a subgroup G of the full automorphism group Aut ( X ) . Then X is said to be ( G , s ) -transitive for a positive integer s , if G is transitive on s -arcs but not on ( s + 1 ) -arcs, and s -transitive if it is ( Aut ( X ) , s ) -transitive. Let G v be a stabilizer of a vertex v ∈ V ( X ) in G . Up to now, the structures of vertex stabilizers G v of cubic, tetravalent or pentavalent ( G , s ) -transitive graphs are known. Thus, in this paper, we give the structure of the vertex stabilizers G v of connected hexavalent...

Axial permutations of ω²

Paweł Klinga (2016)

Colloquium Mathematicae

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We prove that every permutation of ω² is a composition of a finite number of axial permutations, where each axial permutation moves only a finite number of elements on each axis.