Publication details
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
- Organisation(s)
-
Institute of Algebra, Number Theory and Discrete Mathematics
- External Organisation(s)
-
University of Valencia (UV)
- Type
- Article
- Journal
- Pacific journal of mathematics
- Volume
- 323
- Pages
- 337-358
- No. of pages
- 22
- ISSN
- 0030-8730
- Publication date
- 02.06.2023
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- General Mathematics
- Electronic version(s)
-
https://doi.org/10.2140/pjm.2023.323.337 (Access:
Closed
)
