Generators for the bounded automorphisms of infinite-rank free nilpotent groups-Reference-Cited by-同舟云学术

Generators for the bounded automorphisms of infinite-rank free nilpotent groups

Published:1989-10 Issue:2 Volume:40 Page:175-187
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Austral. Math. Soc.

Author:

Burns R.G.,Pi Lian

Abstract

It is shown that the natural generalisations of the elementary Nielsen transformations of a free group to the infinite-rank case, furnish generators for the subgroup of “bounded” automorphisms of any relatively free nilpotent group of infinite rank. This settles the nilpotent analogue of a question of D. Solitar concerning the “bounded” automorphisms of absolutely free groups of infinite rank.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference7 articles.

1. The Abelian Case of Solitar's Conjecture on Infinite Nielsen Transformations

2. Characteristic Subgroups of Some Relatively Free Groups

3. Aspherical 2-complexes

4. Classes of automorphisms of free groups of infinite rank

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