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-permutable subgroups and p-nilpotency of finite groups
- Source :
-
Journal of Pure & Applied Algebra . Nov2005, Vol. 202 Issue 1-3, p72-81. 10p. - Publication Year :
- 2005
-
Abstract
- Abstract: Let be a complete set of Sylow subgroups of a finite group G, that is, for each prime p dividing the order of G, contains one and only one Sylow p-subgroup of G. A subgroup H of G is said to be -permutable in G if H permutes with every member of . In this paper we characterize p-nilpotency of finite groups G with assumption that some maximal subgroups or some 2-maximal subgroups of Sylow subgroups of G are -permutable. Some recent results are extended. [Copyright &y& Elsevier]
- Subjects :
- *SYLOW subgroups
*FINITE groups
*MODULES (Algebra)
*NILPOTENT groups
Subjects
Details
- Language :
- English
- ISSN :
- 00224049
- Volume :
- 202
- Issue :
- 1-3
- Database :
- Academic Search Index
- Journal :
- Journal of Pure & Applied Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 18244807
- Full Text :
- https://doi.org/10.1016/j.jpaa.2005.01.007