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Journal of Shanghai University >

2011 , Vol. 17 >Issue 3: 286 - 288

DOI: https://doi.org/10.3969/j.issn.1007-2861.2011.03.014

Mathematics.Physics and Chemistry

Sufficient Conditions for a Factorized Group to be Supersolvable

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  • College of Sciences, Shanghai University, Shanghai 200444, China

Received date: 2009-12-31

  Online published: 2011-06-24

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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 squarefree.

Key words： length of conjugacy classes; S-quasinormal subgroups; supersolvable groups

Cite this article

QIAN Wei, GUO Xiu-Yun . Sufficient Conditions for a Factorized Group to be Supersolvable[J]. Journal of Shanghai University, 2011 , 17(3) : 286 -288 . DOI: 10.3969/j.issn.1007-2861.2011.03.014

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