ON AUTOMORPHISMS OF FREE NILPOTENT-BY-ABELIAN GROUPS-Reference-Cited by-同舟云学术

ON AUTOMORPHISMS OF FREE NILPOTENT-BY-ABELIAN GROUPS

Published:2006-10 Issue:05 Volume:16 Page:827-837
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

PAPISTAS ATHANASSIOS I.¹

Affiliation:

1. Department of Mathematics, Aristotle University of Thessaloniki, GR 541 24, Thessaloniki, Greece

Abstract

For a positive integer n, with n ≥ 4, let Gn be a free nilpotent of class 2-by-abelian group of rank n. In this paper, it is shown that the automorphism group of Gn is generated by the tame automorphisms of Gn and an explicitly given set of non-tame IA-automorphisms of Gn. This extends a result of Gupta and Levin [9]. Furthermore, the aforementioned result extends a result of Stöhr [13].

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021819670600330X

Reference13 articles.

1. Automorphisms of free metabelian groups of infinite rank

2. Automorphisms of free nilpotent-by-abelian groups

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