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

Published online by Cambridge University Press:  17 April 2009

R.G. Burns  and
Lian Pi
R.G. Burns
Affiliation:
Department of Mathematics, York University, Downsview, Toronto, Ontario, Canada
Lian Pi
Affiliation:
Department of Mathematics, York University, Downsview, Toronto, Ontario, Canada
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Abstract

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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

References

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