A NOTE ON CHARACTERIZATION OF NU (Dn)

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International Electronic Journal of Algebra
Volume:3 Issue:3
A NOTE ON CHARACTERIZATION OF NU (Dn)

A NOTE ON CHARACTERIZATION OF NU (Dn)

Authors : Tevfik BİLGİN, Necat GORENTAS

Pages : 135-140

View : 21 | Download : 12

Publication Date : 2008-06-01

Article Type : Research Paper

Abstract :In this paper construction of normalizer of Dn in V insert ignore into journalissuearticles values(ZDn); is reduced to construction of integral group ring of its cyclic subgroup. In a better expression, we have shown that NU insert ignore into journalissuearticles values(Dn); = Dn × F, where F is a free abelian group with rank ρ = 1 2 ϕinsert ignore into journalissuearticles values(n); − 1.
Keywords : normalizer, centralizer, construction of normalizer, Bass cyclic units and fundamental system of units

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