JP Journal of Algebra, Number Theory and Applications
Volume 12, Issue 1, Pages 11 - 24
(October 2008)
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ON
c-SUPPLEMENTED
AND COVER-AVOIDANCE PROPERTIES OF FINITE GROUPS
Ruofei Lu (P. R. China), Huaquan Wei (P. R. China) and Yanming Wang (P. R. China)
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Abstract: We
present some necessary and sufficient conditions for a finite group to be
solvable, p-nilpotent and supersolvable by using the c-supplemented and cover-avoidance properties of maximal subgroups
of Sylow subgroups. Our results unify and generalize some recent theorems on
related topic.
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Keywords and phrases: p-nilpotent, solvable, supersolvable, c-supplemented, CAP-subgroup. |
Communicated by Yangming Li |
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