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The Automorphism Tower Problem

Simon Thomas
Proceedings of the American Mathematical Society
Vol. 95, No. 2 (Oct., 1985), pp. 166-168
DOI: 10.2307/2044505
Stable URL: http://www.jstor.org/stable/2044505
Page Count: 3
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The Automorphism Tower Problem
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Abstract

It is shown that the automorphism tower of an infinite centerless group terminates. For each ordinal α, a group is constructed whose automorphism tower terminates in exactly α steps.

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