Finite Groups Whose Certain Subgroups of Prime Power Order Are -Semipermutable
Author(s) -
Mustafa A. A. Obaid
Publication year - 2011
Publication title -
isrn algebra
Language(s) - English
Resource type - Journals
eISSN - 2090-6293
pISSN - 2090-6285
DOI - 10.5402/2011/851495
Subject(s) - sylow theorems , mathematics , p group , prime (order theory) , order (exchange) , abelian group , finite group , locally finite group , omega and agemo subgroup , prime power , group (periodic table) , property (philosophy) , pure mathematics , combinatorics , discrete mathematics , torsion subgroup , elementary abelian group , physics , business , philosophy , finance , quantum mechanics , epistemology
Let be a finite group. A subgroup of is said to be S-semipermutable in if permutes with every Sylow -subgroup of with . In this paper, we study the influence of S-permutability property of certain abelian subgroups of prime power order of a finite group on its structure.
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