We show that S n has at most n 6Γ11+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
Generating Finite Groups with Maximal Subgroups of Maximal Subgroups
β Scribed by P. Flavell
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 475 KB
- Volume
- 177
- Category
- Article
- ISSN
- 0021-8693
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