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Abstract
As an important application of Thompson's theorem [Citation9, Theorem 10.4.2], a finite group is solvable if it has an abelian maximal subgroup. In this article, we mainly investigate the influence of some quantitative properties of abelian subgroups on solvability of finite groups. Some new results are obtained.
ACKNOWLEDGMENTS
The authors are thankful to the referee who gives valuable comments and suggestions.
The first author was supported by the China Postdoctoral Science Foundation (Grant No. 201104027). The second author was supported in part by “Agencija za raziskovalno dejavnost Republike Slovenije,” proj. mladi raziskovalci, “Agencija za raziskovalno dejavnost Republike Slovenije,” research program P1-0285.
Notes
Communicated by V. A. Artamonov