Every group has a terminating transfinite automorphism tower

Author:

Hamkins Joel

Abstract

Iteratively taking the automorphism group of any group leads, transfinitely, to a fixed point.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference6 articles.

1. [1997] Joel David Hamkins and Simon Thomas, Changing the heights of automorphism towers, submitted to the Annals of Pure and Applied Logic.

2. Automorphism towers of polycyclic groups;Hulse, J. A.;J. Algebra,1970

3. Automorphism towers of extremal groups;Rae, Andrew;Math. Z.,1970

4. The automorphism tower problem;Thomas, Simon;Proc. Amer. Math. Soc.,1985

5. [1998] Simon Thomas, The automorphism tower problem II, to appear in Israel J. Math.

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