A note on subgroups of infinite symmetric groups
โ Scribed by Ralph Mckenzie
- Publisher
- Elsevier Science
- Year
- 1971
- Weight
- 357 KB
- Volume
- 74
- Category
- Article
- ISSN
- 1385-7258
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We show that S n has at most n 6ร11+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
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