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Sibirskii Matematicheskii Zhurnal, 2009, Volume 50, Number 6, Pages 1255–1268 (Mi smj2046)  
This article is cited in 12 scientific papers (total in 12 papers)

On nonnilpotent groups in which every two 3-maximal subgroups are permutable

W. Guoa, Yu. V. Lutsenkob, A. N. Skibab

a Department of Mathematics, Xuzhou Normal University, Xuzhou, P. R. China
b Francisk Skaryna Gomel State University, Faculty of Mathematics, Gomel', Bearus
Full-text PDF (348 kB) Citations (12)
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Abstract: We describe the structure of finite nonnilpotent groups in which every two 3-maximal subgroups are permutable. In particular, we describe finite nonnilpotent groups in which all 2-maximal or all 3-maximal subgroups are normal.
Keywords: Sylow subgroup, Schmidt group, $n$-maximal subgroup, nilpotent group, supersoluble group, soluble group, permutable subgroup.
Received: 10.09.2008
English version:
Siberian Mathematical Journal, 2009, Volume 50, Issue 6, Pages 988–997
DOI: https://doi.org/10.1007/s11202-009-0109-1
Bibliographic databases:
UDC: 512.542
Language: Russian
Citation: W. Guo, Yu. V. Lutsenko, A. N. Skiba, “On nonnilpotent groups in which every two 3-maximal subgroups are permutable”, Sibirsk. Mat. Zh., 50:6 (2009), 1255–1268; Siberian Math. J., 50:6 (2009), 988–997
Citation in format AMSBIB
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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