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Maximal π-subgroups of the symmetric groups

✍ Scribed by Christopher D. H. Cooper


Publisher
Springer-Verlag
Year
1971
Tongue
French
Weight
245 KB
Volume
123
Category
Article
ISSN
0025-5874

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📜 SIMILAR VOLUMES


Maximal Subgroups of Symmetric Groups
✍ Martin W. Liebeck; Aner Shalev 📂 Article 📅 1996 🏛 Elsevier Science 🌐 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