Publikationsdetails
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
- Organisationseinheit(en)
-
Institut für Algebra, Zahlentheorie und Diskrete Mathematik
- Externe Organisation(en)
-
Stanford University
Università degli Studi di Firenze (UniFi)
University of Southern California (USC)
University of Birmingham
Universitat de Valencia
University of Toronto
- Typ
- Artikel
- Journal
- Journal of algebra
- Band
- 689
- Seiten
- 62-86
- Anzahl der Seiten
- 25
- ISSN
- 0021-8693
- Publikationsdatum
- 01.03.2026
- Publikationsstatus
- Veröffentlicht
- Peer-reviewed
- Ja
- ASJC Scopus Sachgebiete
- Algebra und Zahlentheorie
- Elektronische Version(en)
-
https://doi.org/10.1016/j.jalgebra.2025.09.036 (Zugang:
Offen
)
