This article is cited in 13 scientific papers (total in 13 papers)
Finite Groups in Which Every 3-Maximal Subgroup Commutes with All Maximal Subgroups
Guo Wenbin a , E. V. Legchekova b , A. N. Skiba c a Xuzhou Normal University, Department of Mathematics
b Belarusian State University of Trade and Economics of Consumer's Cooperation
c Francisk Skaryna Gomel State University, Faculty of Mathematics
Abstract:
The structure of finite groups in which every 3-maximal subgroup commutes with all maximal subgroups is described.
Keywords:
finite group, maximal subgroup, 3-maximal subgroup, nilpotent subgroup, commutation subgroup, solvable and supersolvable group, simple group.
Received: 11.09.2008Revised: 08.01.2009
Citation:
Guo Wenbin, E. V. Legchekova, A. N. Skiba, “Finite Groups in Which Every 3-Maximal Subgroup Commutes with All Maximal Subgroups”, Mat. Zametki , 86 :3 (2009), 350–359 ; Math. Notes , 86 :3 (2009), 325–332
Linking options:
https://www.mathnet.ru/eng/mzm8499 https://doi.org/10.4213/mzm8499 https://www.mathnet.ru/eng/mzm/v86/i3/p350
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