Journal of Shanghai University（Natural Science Edition） ›› 2011, Vol. 17 ›› Issue (3): 286-288.doi: 10.3969/j.issn.1007-2861.2011.03.014
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Abstract: Let A and B be subgroups of a finite group G and G=AB. Some sufficient conditions are obtained for G to be supersolvable if the length of conjugacy class of every element in A∪B is squarefree.
Key words: length of conjugacy classes, S-quasinormal subgroups, supersolvable groups
CLC Number:
O 152.1
QIAN Wei, GUO Xiu-Yun. Sufficient Conditions for a Factorized Group to be Supersolvable[J]. Journal of Shanghai University（Natural Science Edition）, 2011, 17(3): 286-288.
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URL: https://www.journal.shu.edu.cn/EN/10.3969/j.issn.1007-2861.2011.03.014
https://www.journal.shu.edu.cn/EN/Y2011/V17/I3/286
