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 = M₂, c = 〈 x, y〉, c ≥ 2, is the free metabelian nilpotent group of class c.

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Bibliographic Details
Date:2002
Main Authors: Gupta, C.K., Wan Lin
Format: Article
Language:English
Published: Інститут математики НАН України 2002
Series:Український математичний журнал
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Online Access:http://dspace.nbuv.gov.ua/handle/123456789/164057
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:A Presentation of the Automorphism Group of the Two-Generator Free Metabelian and Nilpotent Group of Class c / C.K. Gupta, Wan Lin // Український математичний журнал. — 2002. — Т. 54, № 6. — С. 771–779. — Бібліогр.: 3 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine