Publikationsdetails
Groups with 2-generated Sylow subgroups and their character tables
Abstract
Let G be a finite group with a Sylow p-subgroup P. We show that the character table of G determines whether P has maximal nilpotency class and whether P is a minimal nonabelian group. The latter result is obtained from a precise classification of the corresponding groups G in terms of their composition factors. For p-constrained groups G we prove further that the character table determines whether P can be generated by two elements.
Details
- Organisationseinheit(en)
-
Institut für Algebra, Zahlentheorie und Diskrete Mathematik
- Externe Organisation(en)
-
Universitat de València (UV)
- Typ
- Artikel
- Journal
- Pacific journal of mathematics
- Band
- 323
- Seiten
- 337-358
- Anzahl der Seiten
- 22
- ISSN
- 0030-8730
- Publikationsdatum
- 02.06.2023
- Publikationsstatus
- Veröffentlicht
- Peer-reviewed
- Ja
- ASJC Scopus Sachgebiete
- Allgemeine Mathematik
- Elektronische Version(en)
-
https://doi.org/10.2140/pjm.2023.323.337 (Zugang:
Geschlossen
)
