Notes on the average number of Sylow subgroups of finite groups

Lu, Jiakuan, et al. "Notes on the average number of Sylow subgroups of finite groups." Czechoslovak Mathematical Journal 71.4 (2021): 1129-1132. <http://eudml.org/doc/298097>.

@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 -