The Influence of Some Quantitative Properties of Abelian Subgroups on Solvability of Finite Groups |
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| Authors: | Jiangtao Shi |
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| Affiliation: | School of Mathematics and Information Science , Yantai University , Yantai , China |
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| Abstract: | As an important application of Thompson's theorem [9 Robinson , D. J. S. ( 1996 ). A Course in the Theory of Groups. , 2nd ed. New York : Springer-Verlag .[Crossref] , [Google Scholar], 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. |
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| Keywords: | Abelian subgroup Conjugacy class Solvable group |
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