𝔖 Bobbio Scriptorium
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Maximal Subgroups of Magnetic Space Groups and Subperiodic Groups

✍ Scribed by Litvin, D. B.


Book ID
114513939
Publisher
International Union of Crystallography
Year
1996
Tongue
English
Weight
498 KB
Volume
52
Category
Article
ISSN
0108-7673

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We show that S n has at most n 6Γ‚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