The Fixity of Permutation Groups
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J. Saxl; A. Shalev
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Article
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1995
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Elsevier Science
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English
β 912 KB
The fixity of a finite permutation group \(G\) is the maximal number of fixed points of a non-trivial element of \(G\). We analyze the structure of non-regular permutation groups \(G\) with given fixity \(f\). We show that if \(G\) is transitive and nilpotent, then it has a subgroup whose index and