J4 ›› 2010, Vol. 48 ›› Issue (03): 384-388.
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WANG Junxin
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Based on a wellknown theorem which asserts that groups of odd order are solvable, this paper deals with the relationships between the semi-2-cover-avoiding property of subgroups and the solvability of finite groups with the help of the methods of induction and minimal counterexamples, with a series of sufficient and necessary conditions for a finite group to be solvable. It is shown that the semi-2-cover-avoiding property can characterize solvable groups as the normality does nilpotent groups.
Key words: maximal subgroup, semi-2-cover-avoiding property, solvable group
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WANG Dun-Xin. Semi2-CoverAvoiding Properties Correlative toSolvability of Finite Groups[J].J4, 2010, 48(03): 384-388.
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http://xuebao.jlu.edu.cn/lxb/EN/Y2010/V48/I03/384
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