The automorphisms of the symmetric group
โ Scribed by Segal, Irving E.
- Book ID
- 118143254
- Publisher
- American Mathematical Society
- Year
- 1940
- Tongue
- English
- Weight
- 84 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0273-0979
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๐ SIMILAR VOLUMES
The pure symmetric automorphism group of a finitely generated free group consists of those automorphisms which send each standard generator to a conjugate of itself. We prove that these groups are duality groups.
In this paper we define a canonical locally flat generalized conformal structure on a symmetric R-space of the rank greater than I. We prove that the group of automorphisms of this structure coincides with the noncompact group of automorphisms of the symmetric space.
## Abstract We investigate the properties of graphs whose automorphism group is the symmetric group. In particular, we characterize graphs on less than 2__n__ points with group __S~n~__, and construct all graphs on __n__ + 3 points with group __S~n~__. Graphs with 2__n__ or more points and group __