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Keywords:
Fitting subgroup; Sylow subgroup; composition factor
Fitting subgroup; Sylow subgroup; composition factor
Summary:
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.
References:
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