Title of article
The Inuence of CAP-Subgroups on the Solvability of Finite Groups
Author/Authors
Liu, Jianjun Southwest University - School of Mathematics and Statistics, China , Guo, Xiuyun Shanghai University - Department of Mathematics, China , Li, Shirong Guangxi University - Department of Mathematics, China
From page
227
To page
237
Abstract
A subgroup H of a group G is said to be a CAP-subgroup of a group G if, for any non-Frattini chief factor K/L of G, we have HK=HL or H bigcap K=H bigcap L. In this paper, some new characterizations for finite solvable groups are obtained based on the assumption that some subgroups are CAP-subgroups of G.
Keywords
Frattini chief factor , solvable group , cover , avoiding property.
Journal title
Bulletin of the Malaysian Mathematical Sciences Society
Journal title
Bulletin of the Malaysian Mathematical Sciences Society
Record number
2550008
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