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Sibirskii Matematicheskii Zhurnal, 2016, Volume 57, Number 2, Pages 332–338
DOI: https://doi.org/10.17377/smzh.2016.57.208 (Mi smj2747) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On hereditary superradical formations

X. Yia, S. F. Kamornikovb

a Departament of Mathematics, Zhejiang Sci-Tech University, Hangzhou, P. R. China
b International University "MITSO", Gomel, Belarus
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DOI: https://doi.org/10.17377/smzh.2016.57.208
Abstract: A formation $\mathfrak F$ is superradical provided that: (1) $\mathfrak F$ is a normally hereditary formation; (2) each group $G=AB$, where $A$ and $B$ are $\mathfrak F$-subnormal $\mathfrak F$-subgroups in $G$, belongs to $\mathfrak F$. We give an example of a hereditary superradical formation that is not soluble saturated. This gives a negative answer to Problem 14.99(b) in The Kourovka Notebook.
Keywords: finite group, formation, superradical formation, soluble saturation.
Funding agency Grant number
National Natural Science Foundation of China 11101369
11471055
The first author was supported by the NNSF of China (Grants 11101369 and 11471055).
Received: 31.12.2014
English version:
Siberian Mathematical Journal, 2016, Volume 57, Issue 2, Pages 260–264
DOI: https://doi.org/10.1134/S0037446616020087
Bibliographic databases:
Document Type: Article
UDC: 512.542
Language: Russian
Citation: X. Yi, S. F. Kamornikov, “On hereditary superradical formations”, Sibirsk. Mat. Zh., 57:2 (2016), 332–338; Siberian Math. J., 57:2 (2016), 260–264
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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    		Сибирский математический журнал Siberian Mathematical Journal
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