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.
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Original Russian Text Copyright © 2009 Guo W., Lutsenko Yu. V., and Skiba A. N.
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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 50, No. 6, pp. 1255–1268, November–December, 2009.
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Guo, W., Lutsenko, Y.V. & Skiba, A.N. On nonnilpotent groups in which every two 3-maximal subgroups are permutable. Sib Math J 50, 988–997 (2009). https://doi.org/10.1007/s11202-009-0109-1
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DOI: https://doi.org/10.1007/s11202-009-0109-1