Mat. Zametki, 2009 Volume 86, Issue 3, Pages 350–359
(Mi mzm8499)
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13 papers
Finite Groups in Which Every 3-Maximal Subgroup Commutes with All Maximal Subgroups
Guo Wenbina,
E. V. Legchekovab,
A. N. Skibac 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.
UDC:
512.54 Received: 11.09.2008
Revised: 08.01.2009
DOI:
10.4213/mzm8499
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