Finite groups with transitive semipermutability

doi:10.1007/s11464-008-0009-x

Front. Math. China

2008, Vol. 3

Issue (1) : 101-108 https://doi.org/10.1007/s11464-008-0009-x

Finite groups with transitive semipermutability

WANG Lifang¹, WANG Yanming²

1.School of Mathematics, Shanxi Normal University; 2.Lingnan College and Department of Mathematics, Zhongshan University;

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Abstract 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.

Issue Date: 05 March 2008

Cite this article:

WANG Lifang,WANG Yanming. Finite groups with transitive semipermutability[J]. Front. Math. China, 2008, 3(1): 101-108.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-008-0009-x
https://academic.hep.com.cn/fmc/EN/Y2008/V3/I1/101

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