نتایج جستجو برای: rational group

تعداد نتایج: 1040658  

Journal: :Journal of the Institute of Mathematics of Jussieu 2019

Journal: :Journal of the American Mathematical Society 2012

Journal: :Glasgow Mathematical Journal 1981

Journal: :ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE 2011

2007
Bounabi Daoud Ferhat Abbas B. Daoud

Let G be a group. An endomorphism φ of G is called rational if there exist a1, . . . , ar ∈ G and h1, . . . , hr ∈ Z, such that φ(x) = (xa1)1 . . . (xar)r for all x ∈ G. We denote by Endr(G) the group of invertible rational endomorphisms of G. In this note, we prove that G is nilpotent of class c (c ≥ 3) if and only if Endr(G) is nilpotent of class c − 1. Mathematics Subject Classification: 20E...

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