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

• Published in: Український математичний журнал
• Date: 2002
• Main Authors: Gupta, C.K., Wan Lin
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2002
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/164057
• 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.

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. Визначено структуру фактор-групи IA(G)/\Inn(G) за допомогою за...