On 2-closed abelian permutation groups

COMMUNICATIONS IN ALGEBRA（2022）

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摘要

A permutation group G <= Sym(Omega) is said to be 2-closed if no group H such that G < H <= Sym(Omega) has the same orbits on Omega x Omega as G. A simple and efficient inductive criterion for the 2-closedness is established for abelian permutation groups with cyclic transitive constituents.

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关键词

2-Closed groups, abelian groups, permutation groups

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