2017
Том 69
№ 9

All Issues

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

Gupta S., Wan Lin

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Abstract

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.

English version (Springer): Ukrainian Mathematical Journal 54 (2002), no. 6, pp 945-956.

Citation Example: Gupta S., Wan Lin A Presentation of the Automorphism Group of the Two-Generator Free Metabelian and Nilpotent Group of Class $c$ // Ukr. Mat. Zh. - 2002. - 54, № 6. - pp. 771-779.

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