Transitive Permutation Groups Without Semiregular Subgroups
Transitive Permutation Groups Without Semiregular Subgroups
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DOI：
10.1112/s0024610702003484
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发表时间：
2002-10
期刊：
影响因子：
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通讯作者：
P. Cameron;Michael Giudici;G. Jones;W. Kantor;M. Klin;D. Marušič;L. Nowitz
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文献类型：
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作者：
P. Cameron;Michael Giudici;G. Jones;W. Kantor;M. Klin;D. Marušič;L. Nowitz
A transitive finite permutation group is called elusive if it contains no nontrivial semiregular subgroup. The purpose of the paper is to collect known information about elusive groups. The main results are recursive constructions of elusive permutation groups, using various product operations and affine group constructions. A brief historical introduction and a survey of known elusive groups are also included. In a sequel, Giudici has determined all the quasiprimitive elusive groups.
