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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

On groups with a central automorphism of infinite order


Authors: Martyn R. Dixon and M. J. Evans
Journal: Proc. Amer. Math. Soc. 114 (1992), 331-336
MSC: Primary 20F28; Secondary 20E36
MathSciNet review: 1072334
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Abstract: It is shown that a group $ G$, whose center has finite exponent, has a central automorphism of infinite order if and only if $ G$ has an infinite abelian direct factor. It is also shown that the group of central automorphisms of a nilpotent $ p$-group of infinite exponent contains an uncountable torsionfree abelian subgroup


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DOI: http://dx.doi.org/10.1090/S0002-9939-1992-1072334-7
PII: S 0002-9939(1992)1072334-7
Article copyright: © Copyright 1992 American Mathematical Society