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Maximal order Abelian Subgroups of Symmetric Groups

โœ Scribed by Burns, J. M.; Goldsmith, B.


Book ID
120092601
Publisher
Oxford University Press
Year
1989
Tongue
English
Weight
73 KB
Volume
21
Category
Article
ISSN
0024-6093

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Maximal Subgroups of Symmetric Groups
โœ Martin W. Liebeck; Aner Shalev ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 348 KB

We show that S n has at most n 6ร‚11+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