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This article is cited in 16 scientific papers (total in 16 papers)
Finite Groups with Subnormal Second or Third Maximal Subgroups
Yu. V. Lutsenkoa, A. N. Skibab a I. G. Petrovsky Bryansk State University
b Francisk Skorina Gomel State University
Abstract:
In the paper, the precise structure of finite groups all of whose second (or all of whose third) maximal subgroups are subnormal is established.
Keywords:
finite group, second maximal subgroup, third maximal subgroup, subnormal subgroup, Schmidt group, Sylow subgroup, Frattini subgroup, biprimary group, nilpotent group, solvable group, supersolvable group.
Received: 28.09.2010
Citation:
Yu. V. Lutsenko, A. N. Skiba, “Finite Groups with Subnormal Second or Third Maximal Subgroups”, Mat. Zametki, 91:5 (2012), 730–740; Math. Notes, 91:5 (2012), 680–688
Linking options:
https://www.mathnet.ru/eng/mzm9361https://doi.org/10.4213/mzm9361 https://www.mathnet.ru/eng/mzm/v91/i5/p730
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