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Normal subgroups of nonstandard symmetric and alternating groups

โœ Scribed by John Allsup; Richard Kaye


Publisher
Springer
Year
2007
Tongue
English
Weight
235 KB
Volume
46
Category
Article
ISSN
0933-5846

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We show that S n has at most n 6ร‚11+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

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