Publication details
Characters, commutators and centers of Sylow subgroups
Abstract
The character table of a finite group G determines whether |P: P'| = p2 and whether |P: Z(P)| = p2, where P is a Sylow p-subgroup of G. To prove the latter, we give a detailed classification of those groups in terms of the generalized Fitting subgroup.
Details
- Organisation(s)
-
Institute of Algebra, Number Theory and Discrete Mathematics
- External Organisation(s)
-
University of Valencia (UV)
- Type
- Article
- Journal
- Representation theory
- Volume
- 27
- Pages
- 717-733
- No. of pages
- 17
- ISSN
- 1088-4165
- Publication date
- 27.07.2023
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Mathematics (miscellaneous)
- Electronic version(s)
-
https://doi.org/10.1090/ERT/653 (Access:
Closed
)
