Maximal Subgroups of Symmetric Groups
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Martin W. Liebeck; Aner Shalev
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Article
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1996
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Elsevier Science
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English
⚖ 348 KB
We show that S n has at most n 6Â11+o(1) conjugacy classes of primitive maximal subgroups. This improves an n c log 3 n bound given by Babai. We conclude that the number of conjugacy classes of maximal subgroups of S n is of the form ( 12 +o(1))n. It also follows that, for large n, S n has less than