Some criteria for solvability and supersolvability

Autor: Zohreh Habibi, Masoomeh Hezarjaribi
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Journal of Mahani Mathematical Research, Vol 12, Iss 2, Pp 425-429 (2023)
Druh dokumentu: article
ISSN: 2251-7952
2645-4505
DOI: 10.22103/jmmr.2023.20047.1315
Popis: Denote by $ G $ a finite group, by $ {\rm hsn}(G) $ the harmonic mean Sylow number (eliminating the Sylow numbers that are one) in $G$ and by $ {\rm gsn}(G) $ the geometric mean Sylow number (eliminating the Sylow numbers that are one) in $G$. In this paper, we prove that if either $ {\rm hsn}(G)
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