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The depth of Young subgroups of symmetric groups

✍ Scribed by Fritzsche, Tim; Külshammer, Burkhard; Reiche, Carolin


Book ID
120050581
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
210 KB
Volume
381
Category
Article
ISSN
0021-8693

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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