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Closed subgroups of the infinite symmetric group

โœ Scribed by George M. Bergman; Saharon Shelah


Publisher
Springer
Year
2006
Tongue
English
Weight
734 KB
Volume
55
Category
Article
ISSN
0002-5240

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๐Ÿ“œ SIMILAR VOLUMES


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

Symmetrical Subgroups of Artin Groups
โœ John Crisp ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 208 KB

We show that the subgroup fixed by a group of symmetries of an Artin system (A, S) is itself an Artin group under the hypothesis that the Deligne complex associated to A admits a suitable CAT(0) metric. Such a metric is known to exist for all Artin groups of type FC, which include all the finite typ