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Sibirskii Matematicheskii Zhurnal, 2009, Volume 50, Number 1, Pages 123–131 (Mi smj1943)  
This article is cited in 3 scientific papers (total in 3 papers)

Classification of finite groups satisfying a minimal condition

Sh. Lia, W. Mengb

a Department of Mathematics, Guangxi University
b College of preparatory education, Yunnan Nationalities University
Full-text PDF (312 kB) Citations (3)
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Abstract: If $H$ is a subgroup of a finite group $G$ then we denote the normal closure of $H$ in $G$ by $H^G$. We call $G$ a $PE$-group if every minimal subgroup $X$ of $G$ satisfies $N_G(X)\cap X^G=X$. The authors classify the finite non-$PE$-groups whose maximal subgroups of even order are $PE$-groups.
Keywords: minimal subgroup, $NE$-subgroup, $PE$-group, soluble group.
Received: 02.04.2007
English version:
Siberian Mathematical Journal, 2009, Volume 50, Issue 1, Pages 100–106
DOI: https://doi.org/10.1007/s11202-009-0012-9
Bibliographic databases:
UDC: 512.54
Language: Russian
Citation: Sh. Li, W. Meng, “Classification of finite groups satisfying a minimal condition”, Sibirsk. Mat. Zh., 50:1 (2009), 123–131; Siberian Math. J., 50:1 (2009), 100–106
Citation in format AMSBIB
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\paper Classification of finite groups satisfying a~minimal condition
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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