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On $$S$$ -propermutable Subgroups of Finite Groups.

Authors :
Yi, Xiaolan
Skiba, Alexander
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]

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