Geodesic
Notes on the average number of Sylow subgroups of finite groups
Czechoslovak Mathematical Journal, Tome 71 (2021) no. 4, pp. 1129-1132.

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We show that if the average number of (nonnormal) Sylow subgroups of a finite group is less than $\frac {29}{4}$ then $G$ is solvable or $G/F(G)\cong A_5$. This generalizes an earlier result by the third author.
DOI : 10.21136/CMJ.2021.0229-20
Classification : 20D20
Keywords: Fitting subgroup; Sylow subgroup; composition factor 
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     title = {Notes on the average number of {Sylow} subgroups of finite groups},
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Lu, Jiakuan; Meng, Wei; Moretó, Alexander; Wu, Kaisun. Notes on the average number of Sylow subgroups of finite groups. Czechoslovak Mathematical Journal, Tome 71 (2021) no. 4, pp. 1129-1132. doi : 10.21136/CMJ.2021.0229-20. http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2021.0229-20/

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