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Sibirskii Matematicheskii Zhurnal, 2017, Volume 58, Number 2, Pages 417–429
DOI: https://doi.org/10.17377/smzh.2017.58.215 (Mi smj2870) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Finite groups that are products of two normal supersoluble subgroups

X. Tang, Yu Ye, W. Guo

School of Mathematical Sciences, University of Science and Technology of China, Hefei, P. R. China
Full-text PDF (337 kB) Citations (3)
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DOI: https://doi.org/10.17377/smzh.2017.58.215
Abstract: Let $\mathfrak{P1}$ be the class of all finite groups that are products of two normal supersoluble subgroups. Let $\mathfrak P$ be the class of all nonsupersoluble $\mathfrak{P1}$-groups $G$ such that all proper $\mathfrak{P1}$-subgroups of $G$ and nontrivial factor groups of $G$ are supersoluble. We classify the $\mathfrak P$-groups.
Keywords: finite group, supersoluble groups, product of two normal supersoluble subgroups, module.
Funding agency Grant number
National Natural Science Foundation of China 11371335
11431010
11571329
Wu Wen-Tsun Key Laboratory of Mathematics of Chinese Academy of Sciences
The authors were supported by the NNSF of China (Grants # 11371335, 11431010, and 11571329) and the Wu Wen-Tsun Key Laboratory of Mathematics of the Chinese Academy of Sciences.
Received: 07.01.2016
English version:
Siberian Mathematical Journal, 2017, Volume 58, Issue 2, Pages 319–328
DOI: https://doi.org/10.1134/S003744661702015X
Bibliographic databases:
Document Type: Article
UDC: 512.542
MSC: 20D10, 20D40
Language: Russian
Citation: X. Tang, Yu Ye, W. Guo, “Finite groups that are products of two normal supersoluble subgroups”, Sibirsk. Mat. Zh., 58:2 (2017), 417–429; Siberian Math. J., 58:2 (2017), 319–328
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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