Outer Automorphism Groups of Ordered Permutation Groups
Group Theory
2007-05-23 v1 Logic
Abstract
An infinite linearly ordered set (S,<=) is called doubly homogeneous if its automorphism group A(S) acts 2-transitively on it. We show that any group G arises as outer automorphism group G cong Out(A(S)) of the automorphism group A(S), for some doubly homogeneous chain (S,<=).
Cite
@article{arxiv.math/0010304,
title = {Outer Automorphism Groups of Ordered Permutation Groups},
author = {Manfred Droste and Saharon Shelah},
journal= {arXiv preprint arXiv:math/0010304},
year = {2007}
}