Notes on the average number of Sylow subgroups of finite groups

@article{Lu2021,
abstract = {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.},
author = {Lu, Jiakuan, Meng, Wei, Moretó, Alexander, Wu, Kaisun},
journal = {Czechoslovak Mathematical Journal},
keywords = {Fitting subgroup; Sylow subgroup; composition factor},
language = {eng},
number = {4},
pages = {1129-1132},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Notes on the average number of Sylow subgroups of finite groups},
url = {http://eudml.org/doc/298097},
volume = {71},
year = {2021},
}

TY - JOUR
AU - Lu, Jiakuan
AU - Meng, Wei
AU - Moretó, Alexander
AU - Wu, Kaisun
TI - Notes on the average number of Sylow subgroups of finite groups
JO - Czechoslovak Mathematical Journal
PY - 2021
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 71
IS - 4
SP - 1129
EP - 1132
AB - 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.
LA - eng
KW - Fitting subgroup; Sylow subgroup; composition factor
UR - http://eudml.org/doc/298097
ER -