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

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Ukrainian Mathematical Journal Aims and scope

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.

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REFERENCES

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Authors and Affiliations

  1. University of Manitoba, Winnipeg, Canada

    C. K. Gupta &  Wan Lin

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  1. C. K. Gupta
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  2. Wan Lin
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Gupta, C.K., Wan Lin A Presentation of the Automorphism Group of the Two-Generator Free Metabelian and Nilpotent Group of Class c. Ukrainian Mathematical Journal 54, 945–956 (2002). https://doi.org/10.1023/A:1021760103262

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  • DOI: https://doi.org/10.1023/A:1021760103262

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