Pseudocomplete nilpotent groups

Fournelle, Thomas A.

doi:10.1090/S0002-9939-1983-0691267-3

Pseudocomplete nilpotent groups
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by Thomas A. Fournelle

Proc. Amer. Math. Soc. 88 (1983), 1-7

DOI: https://doi.org/10.1090/S0002-9939-1983-0691267-3

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Abstract:

Semicomplete nilpotent groups, that is, nilpotent groups with no outer automorphisms, have been of interest for many years. In this paper pseudocomplete nilpotent groups, that is, nilpotent groups in which the automorphism group and the inner automorphism group are isomorphic (not equal), are constructed. When suitable conditions are placed on the pseudocomplete nilpotent group, the quotient of the automorphism group by the inner automorphism group is completely characterized.

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