Abstract
Let N be a finite group and G be a finite simple group and let π t (N) and π t (G) be the set of indices of maximal subgroups of groups N and G respectively. If π t (N) ⊆ π t (G), we give the structure of N.
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Acknowledgments
Supported by the NSF of Jiangsu Province and Jiangsu College and University (Grant N. BK2001133, 03KJB110112).
Notes
#Communicated by A. Yu Olshanskii.