Maximal Subgroups of Symmetric Groups
โ
Martin W. Liebeck; Aner Shalev
๐
Article
๐
1996
๐
Elsevier Science
๐
English
โ 348 KB
We show that S n has at most n 6ร11+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