journal6 ›› 2012, Vol. 33 ›› Issue (6): 19-21.DOI: 10.3969/j.issn.1007-2985.2012.06.005

• Mathematics • Previous Articles     Next Articles

New Characterization of p-Nilpotent Group


  1. (1.Department of Mathmatics,Rugao Branch of Jiangsu Institute of Education,Rugao 226500,Jiangsu China;2.School of Science,Zhejiang Sci-Tech University,Hangzhou 310018,China)
  • Online:2012-11-25 Published:2013-01-14

Abstract: A subgroup H of group G is said to be weakly S-semipermutabe in G if there exists a subnormal subgroup B of G such that G=HB and H∩B≤HssG,where HssG is the maximal S-semipermutable subgroup of G contained in H.By using the weakly S-semipermutability of the maximal subgroups of the Sylow subgroup and combining the normalizer  of Sylow subgroup,a sufficient condition for a finite group to be p-nilpotent is obtained and some recent results can be generalized.

Key words: S-permutable, S-permutably embedded, weakly S-semipermutable, p-nilpotent

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