Details
| Original language | English |
|---|---|
| Pages (from-to) | 1-9 |
| Number of pages | 9 |
| Journal | Journal of algebra |
| Volume | 650 |
| Early online date | 10 Apr 2024 |
| Publication status | E-pub ahead of print - 10 Apr 2024 |
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.
Keywords
- Covering p-elements, Sylow subgroups
ASJC Scopus subject areas
- Mathematics(all)
- Algebra and Number Theory
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In: Journal of algebra, Vol. 650, 15.07.2024, p. 1-9.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - On redundant Sylow subgroups
AU - Sambale, Benjamin
PY - 2024/4/10
Y1 - 2024/4/10
N2 - 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.
AB - 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.
KW - Covering p-elements
KW - Sylow subgroups
UR - http://www.scopus.com/inward/record.url?scp=85190160171&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2311.06931
DO - 10.48550/arXiv.2311.06931
M3 - Article
AN - SCOPUS:85190160171
VL - 650
SP - 1
EP - 9
JO - Journal of algebra
JF - Journal of algebra
SN - 0021-8693
ER -