On the Finite Group Which Is a Product of Two Subnormal Supersolvable Subgroups

Yangming Li, Yubo Lv and Xiangyang Xu
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Yangming Li: School of Mathematics, Guangdong University of Education, Guangzhou 510310, China
Yubo Lv: School of Mathematical Sciences, Guizhou Normal University, Guiyang 550001, China
Xiangyang Xu: School of Mathematics and Information Science, Nanchang Normal University, Nanchang 330026, China

Mathematics, 2022, vol. 10, issue 13, 1-6

Abstract: Let G be a finite group that is a product of two subnormal ( normal) supersolvable subgroups. The following are interesting topics in the study of the structure of G : obtaining the conditions in addition to guarantee that G is supersolvable and giving the detailed structure of G when G is non-supersolvable. In this paper, we obtain a characteristic property of G being non-supersolvable and two new sufficient conditions for G being a supersolvable group.

Keywords: subnormal subgroup; minimal non-abelian p-group; supersolvable group; minimal non-supersolvable group (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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