A Presentation of the Automorphism Group of the Two-Generator Free Metabelian and Nilpotent Group of Class $c$

We determine the structure of IA(G)/Inn(G) by giving a set of generators, and showing that IA(G)/Inn(G) is a free abelian group of rank (c − 2)(c + 3)/2. Here G = M 2, c = 〈 x, y〉, c ≥ 2, is the free metabelian nilpotent group of class c.

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Bibliographic Details
Date:2002
Main Authors: Wan, Lin, Gupta, S., Ван, Лін, Гупта, С.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 2002
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/4115
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal