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On central automorphisms of finite-by-nilpotent groups

Published online by Cambridge University Press:  20 January 2009

Silvana Franciosi  and
Francesco de Giovanni
Silvana Franciosi
Affiliation:
Istituto di Matematica, Facoltà di Scienze, Università di Salerno, I-84100 Salerno, Italy
Francesco de Giovanni
Affiliation:
Dipartimento di Matematica, Università di Napoli, Via Mezzocannone 8, I-80134 Napoli, Italy
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Abstract

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The effect of imposing a certain finiteness condition on the group of central automorphisms of a finite-by-nilpotent group is investigated. In particular it is shown that, if each central automorphism of a finite-by-nilpotent group G has finite order, then the factor group G/Z(G) has finite exponent.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 33 , Issue 2 , June 1990 , pp. 191 - 201
Copyright
Copyright © Edinburgh Mathematical Society 1990

References

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