The formation of G-super soluble Groups
Journal Title: International Research Journal of Applied and Basic Sciences - Year 2013, Vol 5, Issue 9
Abstract
A class of finite groups is called saturated formation ? when if ( ) G G ?? ? , then G ?? in which ? is called a class of groups. The purpose of this paper is to show that the finite super soluble groups form a saturated formation. Also, using the ?G super solubility of some of the subgroups over the structure of finite groups, the Holder's theorem is generalized.
Authors and Affiliations
Mohammad Ali Hashemi| Faculty of Mathematical department of Payame Noor University, PO BOX 19395-3697, Tehran, IRAN, email: m_a_hashemi@pnu.ac.ir
Keywords
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