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Generators for the bounded automorphisms of infinite-rank free nilpotent groups
Published online by Cambridge University Press: 17 April 2009
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.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 40 , Issue 2 , October 1989 , pp. 175 - 187
- Copyright
- Copyright © Australian Mathematical Society 1989
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