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Keywords = minimal non-supersolvable group

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6 pages, 254 KiB  
Article
On the Finite Group Which Is a Product of Two Subnormal Supersolvable Subgroups
by Yangming Li, Yubo Lv and Xiangyang Xu
Mathematics 2022, 10(13), 2306; https://doi.org/10.3390/math10132306 - 1 Jul 2022
Viewed by 1355
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 [...] Read more.
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. Full article
(This article belongs to the Section A: Algebra and Logic)
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