Publication details
On the number and sizes of double cosets of Sylow subgroups of the symmetric group
Abstract
Let Pn be a Sylow p-subgroup of the symmetric group Sn. We investigate the number and sizes of the Pn∖Sn/Pn double cosets, showing that ‘most’ double cosets have maximal size when p is odd, or equivalently, that Pn∩Pnx=1 for most x∈Sn when n is large. We also find that all possible sizes of such double cosets occur, modulo a list of small exceptions.
Details
- Organisation(s)
-
Institute of Algebra, Number Theory and Discrete Mathematics
- External Organisation(s)
-
Stanford University
University of Florence (UniFi)
University of Southern California
University of Birmingham
Universitat de Valencia (UV)
University of Toronto
- Type
- Article
- Journal
- Journal of algebra
- Volume
- 689
- Pages
- 62-86
- No. of pages
- 25
- ISSN
- 0021-8693
- Publication date
- 01.03.2026
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Algebra and Number Theory
- Electronic version(s)
-
https://doi.org/10.1016/j.jalgebra.2025.09.036 (Access:
Open
)
