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Vietnam
Journal of Mathematics 39:2 (2011) 125-134
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On SS-semipermutable Subgroups of Finite Groups
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Changwen Li
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School of Mathematical Science, Xuzhou Normal University.
Xuzhou, China
Email: lcw2000@126.com
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Abstract. We introduce a new subgroup embedding
property in a finite group called SS-semipermutability and
investigate the influence of SS-semipermutable subgroups on the
structure of finite groups. Our results unify and generalize some
earlier results.
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2000 Mathematics Subject Classification: 20D10, 20D20.
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Keywords: S-semipermutable; SS-semipermutable;
p-nilpotent; the generalized Fitting subgroup.
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