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Arrangement of Young subgroups in the symmetric group

✍ Scribed by Z. I. Borevich; P. V. Gavron

Book ID: 105463753
Publisher: Springer US
Year: 1985
Tongue: English
Weight: 491 KB
Volume: 30
Category: Article
ISSN: 1573-8795
DOI: 10.1007/bf02105094

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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