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Results tagged with automorphism-groups
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user 7206
Questions about the group of automorphisms of any mathematical object $X$ endowed with a given structure, i.e the group of all bijective maps from $X$ to itself preserving this structure, and hence helping study it further and understand it better.
12
votes
Accepted
The Tall Tale of Terminating Transfinite Towers
Here is a relevant paper,
Kaplan, Itay; Shelah, Saharon, The automorphism tower of a centerless group without choice, Arch. Math. Logic 48, No. 8, 799-815 (2009). ZBL1192.03026.
At least for a c …
- 39.8k
8
votes
Automorphisms of algebraically closed fields without the Axiom of Choice
Läuchli constructed an algebraic closure of the rationals which does not have any non-identity automorphisms.
Läuchli, H., Auswahlaxiom in der Algebra, Comment. Math. Helv. 37, 1-18 (1962). ZBL0108.0 …
- 39.8k