Publication details
On redundant Sylow subgroups
Abstract
A Sylow p-subgroup P of a finite group G is called redundant if every p-element of G lies in a Sylow subgroup different from P. Generalizing a recent theorem of Maróti–Martínez–Moretó, we show that for every non-cyclic p-group P there exists a solvable group G such that P is redundant in G. Moreover, we answer several open questions raised by Maróti–Martínez–Moretó.
Details
- Organisation(s)
-
Institute of Algebra, Number Theory and Discrete Mathematics
- Type
- Article
- Journal
- Journal of algebra
- Volume
- 650
- Pages
- 1-9
- No. of pages
- 9
- ISSN
- 0021-8693
- Publication date
- 15.07.2024
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Algebra and Number Theory
- Electronic version(s)
-
https://doi.org/10.48550/arXiv.2311.06931 (Access:
Open
)
https://doi.org/10.1016/j.jalgebra.2024.04.002 (Access: Open )
