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Zhu, Zuo-Tong; Huang, Zhenyu

The structure of transitive ordered permutation groups. (English) Zbl 1007.06012

Czech. Math. J. 49, No. 4, 811-815 (1999).
Summary: 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.

MSC:

06F15 Ordered groups

Keywords:

transitive \(l\)-permutation group; stabilizer subgroup; primitive component; normal-valued \(l\)-group
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\textit{Z.-T. Zhu} and \textit{Z. Huang}, Czech. Math. J. 49, No. 4, 811--815 (1999; Zbl 1007.06012)
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