A group G is said to be a T-group (resp. PT-group, PST-group), if normality (resp. permutability, S-permutability) is a transitive relation. In this paper, we get the characterization of finite solvable PST-groups. We also give a new characterization of finite solvable PT-groups.
WANG Lifang, WANG Yanming
. Finite groups with transitive semipermutability[J]. Frontiers of Mathematics in China, 2008
, 3(1)
: 101
-108
.
DOI: 10.1007/s11464-008-0009-x
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