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Automorphisms of nilpotent-by-abelian groups

Published online by Cambridge University Press:  17 April 2009

C.K. Gupta  and
Frank Levin
C.K. Gupta
Affiliation:
Department of MathematicsUniversity of ManitobaWinnipeg R3T 2N2Canada
Frank Levin
Affiliation:
Mathęematisches InstitutRuhr Universität463 BochumWest Germany
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Abstract

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For F free of rank 4, a generating set for Aut (F/[F′, F′, F′]) exhibiting countably many wild automorphisms is obtained. Also included are examples of wild automorphisms in Aut (F/Vk+1) which are tame in Aut (F/Vk) for k ≥ 1, where Vk = [F″, F,…, F] (F repeats k times).

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 40 , Issue 2 , October 1989 , pp. 207 - 213
Copyright
Copyright © Australian Mathematical Society 1989

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