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On $$S$$ -propermutable Subgroups of Finite Groups.
- Source :
-
Bulletin of the Malaysian Mathematical Sciences Society . Apr2015, Vol. 38 Issue 2, p605-616. 12p. - Publication Year :
- 2015
-
Abstract
- Let $$H$$ be a subgroup of a finite group $$G$$ . Then we say that $$H$$ is $$S$$ -propermutable in $$G$$ provided $$G$$ has a subgroup $$B$$ such that $$G=N_{G}(H)B$$ and $$H$$ permutes with all Sylow subgroups of $$B$$ . In this paper we analyze the influence of $$S$$ -propermutable subgroups on the structure of $$G$$ . [ABSTRACT FROM AUTHOR]
- Subjects :
- *FINITE groups
*SYLOW subgroups
*MAXIMAL subgroups
*ABELIAN groups
*GROUP theory
Subjects
Details
- Language :
- English
- ISSN :
- 01266705
- Volume :
- 38
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Bulletin of the Malaysian Mathematical Sciences Society
- Publication Type :
- Academic Journal
- Accession number :
- 101623499
- Full Text :
- https://doi.org/10.1007/s40840-014-0038-4